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Finding the Fourth Proportional to 131.90, 182.42 and 115.50

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Solution

The fourth proportional to 131.90, 182.42 and 115.50 is: 159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 182.42 = 115.50 : x
  2. Step 2: Convert to fraction form
    131.90/182.42 = 115.50/x
  3. Step 3: Cross multiply
    131.90x = 182.42 × 115.50
  4. Step 4: Simplify right side
    131.90x = 21,068.93
  5. Step 5: Solve for x
    x = 21,068.93/131.90
  6. Step 6: Final answer
    x = 159.73

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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.