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Finding the Fourth Proportional to 309.30, 463.89 and 142.55

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Solution

The fourth proportional to 309.30, 463.89 and 142.55 is: 213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 463.89 = 142.55 : x
  2. Step 2: Convert to fraction form
    309.30/463.89 = 142.55/x
  3. Step 3: Cross multiply
    309.30x = 463.89 × 142.55
  4. Step 4: Simplify right side
    309.30x = 66,125.20
  5. Step 5: Solve for x
    x = 66,125.20/309.30
  6. Step 6: Final answer
    x = 213.79

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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.