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Finding the Fourth Proportional to 147.24, 201.91 and 132.64

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Solution

The fourth proportional to 147.24, 201.91 and 132.64 is: 181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 201.91 = 132.64 : x
  2. Step 2: Convert to fraction form
    147.24/201.91 = 132.64/x
  3. Step 3: Cross multiply
    147.24x = 201.91 × 132.64
  4. Step 4: Simplify right side
    147.24x = 26,781.34
  5. Step 5: Solve for x
    x = 26,781.34/147.24
  6. Step 6: Final answer
    x = 181.89

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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.