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Finding the Fourth Proportional to 132.10, 181.15 and 130.58

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Solution

The fourth proportional to 132.10, 181.15 and 130.58 is: 179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 181.15 = 130.58 : x
  2. Step 2: Convert to fraction form
    132.10/181.15 = 130.58/x
  3. Step 3: Cross multiply
    132.10x = 181.15 × 130.58
  4. Step 4: Simplify right side
    132.10x = 23,654.41
  5. Step 5: Solve for x
    x = 23,654.41/132.10
  6. Step 6: Final answer
    x = 179.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.