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Finding the Fourth Proportional to 147.38, 221.96 and 133.12

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Solution

The fourth proportional to 147.38, 221.96 and 133.12 is: 200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.38 : 221.96 = 133.12 : x
  2. Step 2: Convert to fraction form
    147.38/221.96 = 133.12/x
  3. Step 3: Cross multiply
    147.38x = 221.96 × 133.12
  4. Step 4: Simplify right side
    147.38x = 29,547.32
  5. Step 5: Solve for x
    x = 29,547.32/147.38
  6. Step 6: Final answer
    x = 200.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.