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Finding the Fourth Proportional to 424.60, 636.18 and 280.06

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Solution

The fourth proportional to 424.60, 636.18 and 280.06 is: 419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.60 : 636.18 = 280.06 : x
  2. Step 2: Convert to fraction form
    424.60/636.18 = 280.06/x
  3. Step 3: Cross multiply
    424.60x = 636.18 × 280.06
  4. Step 4: Simplify right side
    424.60x = 178,168.57
  5. Step 5: Solve for x
    x = 178,168.57/424.60
  6. Step 6: Final answer
    x = 419.62

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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.