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Finding the Fourth Proportional to 311.08, 463.49 and 289

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Solution

The fourth proportional to 311.08, 463.49 and 289 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.08 : 463.49 = 289 : x
  2. Step 2: Convert to fraction form
    311.08/463.49 = 289/x
  3. Step 3: Cross multiply
    311.08x = 463.49 × 289
  4. Step 4: Simplify right side
    311.08x = 133,948.61
  5. Step 5: Solve for x
    x = 133,948.61/311.08
  6. Step 6: Final answer
    x = 430.59

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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.