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Finding the Fourth Proportional to 309.29, 463.95 and 103.88

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Solution

The fourth proportional to 309.29, 463.95 and 103.88 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.29 : 463.95 = 103.88 : x
  2. Step 2: Convert to fraction form
    309.29/463.95 = 103.88/x
  3. Step 3: Cross multiply
    309.29x = 463.95 × 103.88
  4. Step 4: Simplify right side
    309.29x = 48,195.13
  5. Step 5: Solve for x
    x = 48,195.13/309.29
  6. Step 6: Final answer
    x = 155.83

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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.