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Finding the Fourth Proportional to 132.40, 181.10 and 130.48

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Solution

The fourth proportional to 132.40, 181.10 and 130.48 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 181.10 = 130.48 : x
  2. Step 2: Convert to fraction form
    132.40/181.10 = 130.48/x
  3. Step 3: Cross multiply
    132.40x = 181.10 × 130.48
  4. Step 4: Simplify right side
    132.40x = 23,629.93
  5. Step 5: Solve for x
    x = 23,629.93/132.40
  6. Step 6: Final answer
    x = 178.47

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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.