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Finding the Fourth Proportional to 463.20, 693.42 and 280.04

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Solution

The fourth proportional to 463.20, 693.42 and 280.04 is: 419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 693.42 = 280.04 : x
  2. Step 2: Convert to fraction form
    463.20/693.42 = 280.04/x
  3. Step 3: Cross multiply
    463.20x = 693.42 × 280.04
  4. Step 4: Simplify right side
    463.20x = 194,184.47
  5. Step 5: Solve for x
    x = 194,184.47/463.20
  6. Step 6: Final answer
    x = 419.22

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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.