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Finding the Fourth Proportional to 132.31, 182.32 and 108.93

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Solution

The fourth proportional to 132.31, 182.32 and 108.93 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 182.32 = 108.93 : x
  2. Step 2: Convert to fraction form
    132.31/182.32 = 108.93/x
  3. Step 3: Cross multiply
    132.31x = 182.32 × 108.93
  4. Step 4: Simplify right side
    132.31x = 19,860.12
  5. Step 5: Solve for x
    x = 19,860.12/132.31
  6. Step 6: Final answer
    x = 150.10

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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.