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Finding the Fourth Proportional to 305.89, 458.88 and 97.61

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Solution

The fourth proportional to 305.89, 458.88 and 97.61 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 458.88 = 97.61 : x
  2. Step 2: Convert to fraction form
    305.89/458.88 = 97.61/x
  3. Step 3: Cross multiply
    305.89x = 458.88 × 97.61
  4. Step 4: Simplify right side
    305.89x = 44,791.28
  5. Step 5: Solve for x
    x = 44,791.28/305.89
  6. Step 6: Final answer
    x = 146.43

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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.