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Finding the Fourth Proportional to 147.64, 220.42 and 134.65

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Solution

The fourth proportional to 147.64, 220.42 and 134.65 is: 201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 220.42 = 134.65 : x
  2. Step 2: Convert to fraction form
    147.64/220.42 = 134.65/x
  3. Step 3: Cross multiply
    147.64x = 220.42 × 134.65
  4. Step 4: Simplify right side
    147.64x = 29,679.55
  5. Step 5: Solve for x
    x = 29,679.55/147.64
  6. Step 6: Final answer
    x = 201.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.