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Finding the Fourth Proportional to 424.53, 636.74 and 193.17

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Solution

The fourth proportional to 424.53, 636.74 and 193.17 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.53 : 636.74 = 193.17 : x
  2. Step 2: Convert to fraction form
    424.53/636.74 = 193.17/x
  3. Step 3: Cross multiply
    424.53x = 636.74 × 193.17
  4. Step 4: Simplify right side
    424.53x = 123,001.14
  5. Step 5: Solve for x
    x = 123,001.14/424.53
  6. Step 6: Final answer
    x = 289.73

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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.