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Finding the Fourth Proportional to 408, 562.96 and 242.15

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Solution

The fourth proportional to 408, 562.96 and 242.15 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 562.96 = 242.15 : x
  2. Step 2: Convert to fraction form
    408/562.96 = 242.15/x
  3. Step 3: Cross multiply
    408x = 562.96 × 242.15
  4. Step 4: Simplify right side
    408x = 136,320.76
  5. Step 5: Solve for x
    x = 136,320.76/408
  6. Step 6: Final answer
    x = 334.12

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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.