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Finding the Fourth Proportional to 424.57, 636.59 and 278.14

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Solution

The fourth proportional to 424.57, 636.59 and 278.14 is: 417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.57 : 636.59 = 278.14 : x
  2. Step 2: Convert to fraction form
    424.57/636.59 = 278.14/x
  3. Step 3: Cross multiply
    424.57x = 636.59 × 278.14
  4. Step 4: Simplify right side
    424.57x = 177,061.14
  5. Step 5: Solve for x
    x = 177,061.14/424.57
  6. Step 6: Final answer
    x = 417.04

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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.