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Finding the Fourth Proportional to 424.66, 636.90 and 280.48

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Solution

The fourth proportional to 424.66, 636.90 and 280.48 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 636.90 = 280.48 : x
  2. Step 2: Convert to fraction form
    424.66/636.90 = 280.48/x
  3. Step 3: Cross multiply
    424.66x = 636.90 × 280.48
  4. Step 4: Simplify right side
    424.66x = 178,637.71
  5. Step 5: Solve for x
    x = 178,637.71/424.66
  6. Step 6: Final answer
    x = 420.66

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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.