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Finding the Fourth Proportional to 540.24, 744.68 and 362.92

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Solution

The fourth proportional to 540.24, 744.68 and 362.92 is: 500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 744.68 = 362.92 : x
  2. Step 2: Convert to fraction form
    540.24/744.68 = 362.92/x
  3. Step 3: Cross multiply
    540.24x = 744.68 × 362.92
  4. Step 4: Simplify right side
    540.24x = 270,259.27
  5. Step 5: Solve for x
    x = 270,259.27/540.24
  6. Step 6: Final answer
    x = 500.26

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