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Finding the Fourth Proportional to 463.20, 691.98 and 360.24

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Solution

The fourth proportional to 463.20, 691.98 and 360.24 is: 538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 691.98 = 360.24 : x
  2. Step 2: Convert to fraction form
    463.20/691.98 = 360.24/x
  3. Step 3: Cross multiply
    463.20x = 691.98 × 360.24
  4. Step 4: Simplify right side
    463.20x = 249,278.88
  5. Step 5: Solve for x
    x = 249,278.88/463.20
  6. Step 6: Final answer
    x = 538.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.