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Finding the Fourth Proportional to 131.85, 182.10 and 99.24

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Solution

The fourth proportional to 131.85, 182.10 and 99.24 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.85 : 182.10 = 99.24 : x
  2. Step 2: Convert to fraction form
    131.85/182.10 = 99.24/x
  3. Step 3: Cross multiply
    131.85x = 182.10 × 99.24
  4. Step 4: Simplify right side
    131.85x = 18,071.60
  5. Step 5: Solve for x
    x = 18,071.60/131.85
  6. Step 6: Final answer
    x = 137.06

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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.