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Finding the Fourth Proportional to 424.35, 634.91 and 280.35

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Solution

The fourth proportional to 424.35, 634.91 and 280.35 is: 419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.35 : 634.91 = 280.35 : x
  2. Step 2: Convert to fraction form
    424.35/634.91 = 280.35/x
  3. Step 3: Cross multiply
    424.35x = 634.91 × 280.35
  4. Step 4: Simplify right side
    424.35x = 177,995.62
  5. Step 5: Solve for x
    x = 177,995.62/424.35
  6. Step 6: Final answer
    x = 419.45

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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.