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Finding the Fourth Proportional to 236.76, 354.91 and 99.92

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Solution

The fourth proportional to 236.76, 354.91 and 99.92 is: 149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 354.91 = 99.92 : x
  2. Step 2: Convert to fraction form
    236.76/354.91 = 99.92/x
  3. Step 3: Cross multiply
    236.76x = 354.91 × 99.92
  4. Step 4: Simplify right side
    236.76x = 35,462.61
  5. Step 5: Solve for x
    x = 35,462.61/236.76
  6. Step 6: Final answer
    x = 149.78

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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.