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Finding the Fourth Proportional to 147.54, 220.23 and 136.20

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Solution

The fourth proportional to 147.54, 220.23 and 136.20 is: 203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.54 : 220.23 = 136.20 : x
  2. Step 2: Convert to fraction form
    147.54/220.23 = 136.20/x
  3. Step 3: Cross multiply
    147.54x = 220.23 × 136.20
  4. Step 4: Simplify right side
    147.54x = 29,995.33
  5. Step 5: Solve for x
    x = 29,995.33/147.54
  6. Step 6: Final answer
    x = 203.30

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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.