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Finding the Fourth Proportional to 463.04, 693.18 and 279.88

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Solution

The fourth proportional to 463.04, 693.18 and 279.88 is: 418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 693.18 = 279.88 : x
  2. Step 2: Convert to fraction form
    463.04/693.18 = 279.88/x
  3. Step 3: Cross multiply
    463.04x = 693.18 × 279.88
  4. Step 4: Simplify right side
    463.04x = 194,008.08
  5. Step 5: Solve for x
    x = 194,008.08/463.04
  6. Step 6: Final answer
    x = 418.99

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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.