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Finding the Fourth Proportional to 132, 181 and 130.32

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Solution

The fourth proportional to 132, 181 and 130.32 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 181 = 130.32 : x
  2. Step 2: Convert to fraction form
    132/181 = 130.32/x
  3. Step 3: Cross multiply
    132x = 181 × 130.32
  4. Step 4: Simplify right side
    132x = 23,587.92
  5. Step 5: Solve for x
    x = 23,587.92/132
  6. Step 6: Final answer
    x = 178.70

Related Problems

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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.