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Finding the Fourth Proportional to 99.22, 137.10 and 93.82

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Solution

The fourth proportional to 99.22, 137.10 and 93.82 is: 129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.22 : 137.10 = 93.82 : x
  2. Step 2: Convert to fraction form
    99.22/137.10 = 93.82/x
  3. Step 3: Cross multiply
    99.22x = 137.10 × 93.82
  4. Step 4: Simplify right side
    99.22x = 12,862.72
  5. Step 5: Solve for x
    x = 12,862.72/99.22
  6. Step 6: Final answer
    x = 129.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.