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Finding the Fourth Proportional to 99.82, 149.76 and 31.36

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Solution

The fourth proportional to 99.82, 149.76 and 31.36 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.82 : 149.76 = 31.36 : x
  2. Step 2: Convert to fraction form
    99.82/149.76 = 31.36/x
  3. Step 3: Cross multiply
    99.82x = 149.76 × 31.36
  4. Step 4: Simplify right side
    99.82x = 4,696.47
  5. Step 5: Solve for x
    x = 4,696.47/99.82
  6. Step 6: Final answer
    x = 47.05

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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.