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Finding the Fourth Proportional to 540.77, 746.23 and 319.74

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Solution

The fourth proportional to 540.77, 746.23 and 319.74 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 746.23 = 319.74 : x
  2. Step 2: Convert to fraction form
    540.77/746.23 = 319.74/x
  3. Step 3: Cross multiply
    540.77x = 746.23 × 319.74
  4. Step 4: Simplify right side
    540.77x = 238,602.25
  5. Step 5: Solve for x
    x = 238,602.25/540.77
  6. Step 6: Final answer
    x = 441.23

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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.