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Finding the Fourth Proportional to 540.27, 745.55 and 304.19

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Solution

The fourth proportional to 540.27, 745.55 and 304.19 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.27 : 745.55 = 304.19 : x
  2. Step 2: Convert to fraction form
    540.27/745.55 = 304.19/x
  3. Step 3: Cross multiply
    540.27x = 745.55 × 304.19
  4. Step 4: Simplify right side
    540.27x = 226,788.85
  5. Step 5: Solve for x
    x = 226,788.85/540.27
  6. Step 6: Final answer
    x = 419.77

Related Problems

Find fourth proportional to 270.14, 372.78 and 152.10
Half scale
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Double scale
Find fourth proportional to 541.27, 746.93 and 305.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.