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Finding the Fourth Proportional to 131.90, 182.13 and 88.43

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Solution

The fourth proportional to 131.90, 182.13 and 88.43 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 182.13 = 88.43 : x
  2. Step 2: Convert to fraction form
    131.90/182.13 = 88.43/x
  3. Step 3: Cross multiply
    131.90x = 182.13 × 88.43
  4. Step 4: Simplify right side
    131.90x = 16,105.76
  5. Step 5: Solve for x
    x = 16,105.76/131.90
  6. Step 6: Final answer
    x = 122.11

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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.