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Finding the Fourth Proportional to 539.76, 809.40 and 296.40

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Solution

The fourth proportional to 539.76, 809.40 and 296.40 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 809.40 = 296.40 : x
  2. Step 2: Convert to fraction form
    539.76/809.40 = 296.40/x
  3. Step 3: Cross multiply
    539.76x = 809.40 × 296.40
  4. Step 4: Simplify right side
    539.76x = 239,906.16
  5. Step 5: Solve for x
    x = 239,906.16/539.76
  6. Step 6: Final answer
    x = 444.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.