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Finding the Fourth Proportional to 131.17, 180.73 and 86.83

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Solution

The fourth proportional to 131.17, 180.73 and 86.83 is: 119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.17 : 180.73 = 86.83 : x
  2. Step 2: Convert to fraction form
    131.17/180.73 = 86.83/x
  3. Step 3: Cross multiply
    131.17x = 180.73 × 86.83
  4. Step 4: Simplify right side
    131.17x = 15,693.02
  5. Step 5: Solve for x
    x = 15,693.02/131.17
  6. Step 6: Final answer
    x = 119.64

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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.