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Finding the Fourth Proportional to 410.24, 613.76 and 281.60

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Solution

The fourth proportional to 410.24, 613.76 and 281.60 is: 421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 613.76 = 281.60 : x
  2. Step 2: Convert to fraction form
    410.24/613.76 = 281.60/x
  3. Step 3: Cross multiply
    410.24x = 613.76 × 281.60
  4. Step 4: Simplify right side
    410.24x = 172,834.82
  5. Step 5: Solve for x
    x = 172,834.82/410.24
  6. Step 6: Final answer
    x = 421.30

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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.