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Finding the Fourth Proportional to 540.12, 745.34 and 304.06

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Solution

The fourth proportional to 540.12, 745.34 and 304.06 is: 419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 745.34 = 304.06 : x
  2. Step 2: Convert to fraction form
    540.12/745.34 = 304.06/x
  3. Step 3: Cross multiply
    540.12x = 745.34 × 304.06
  4. Step 4: Simplify right side
    540.12x = 226,628.08
  5. Step 5: Solve for x
    x = 226,628.08/540.12
  6. Step 6: Final answer
    x = 419.59

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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.