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Finding the Fourth Proportional to 540.68, 746.50 and 354.28

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Solution

The fourth proportional to 540.68, 746.50 and 354.28 is: 489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.68 : 746.50 = 354.28 : x
  2. Step 2: Convert to fraction form
    540.68/746.50 = 354.28/x
  3. Step 3: Cross multiply
    540.68x = 746.50 × 354.28
  4. Step 4: Simplify right side
    540.68x = 264,470.02
  5. Step 5: Solve for x
    x = 264,470.02/540.68
  6. Step 6: Final answer
    x = 489.14

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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.