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Finding the Fourth Proportional to 425.29, 636.91 and 242.13

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Solution

The fourth proportional to 425.29, 636.91 and 242.13 is: 362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.29 : 636.91 = 242.13 : x
  2. Step 2: Convert to fraction form
    425.29/636.91 = 242.13/x
  3. Step 3: Cross multiply
    425.29x = 636.91 × 242.13
  4. Step 4: Simplify right side
    425.29x = 154,215.02
  5. Step 5: Solve for x
    x = 154,215.02/425.29
  6. Step 6: Final answer
    x = 362.61

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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.