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Finding the Fourth Proportional to 147.43, 220.16 and 128.23

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Solution

The fourth proportional to 147.43, 220.16 and 128.23 is: 191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.43 : 220.16 = 128.23 : x
  2. Step 2: Convert to fraction form
    147.43/220.16 = 128.23/x
  3. Step 3: Cross multiply
    147.43x = 220.16 × 128.23
  4. Step 4: Simplify right side
    147.43x = 28,231.12
  5. Step 5: Solve for x
    x = 28,231.12/147.43
  6. Step 6: Final answer
    x = 191.49

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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.