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Finding the Fourth Proportional to 407.97, 563.13 and 242.13

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Solution

The fourth proportional to 407.97, 563.13 and 242.13 is: 334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 563.13 = 242.13 : x
  2. Step 2: Convert to fraction form
    407.97/563.13 = 242.13/x
  3. Step 3: Cross multiply
    407.97x = 563.13 × 242.13
  4. Step 4: Simplify right side
    407.97x = 136,350.67
  5. Step 5: Solve for x
    x = 136,350.67/407.97
  6. Step 6: Final answer
    x = 334.22

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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.