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Finding the Fourth Proportional to 148.35, 221.22 and 136.53

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Solution

The fourth proportional to 148.35, 221.22 and 136.53 is: 203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 221.22 = 136.53 : x
  2. Step 2: Convert to fraction form
    148.35/221.22 = 136.53/x
  3. Step 3: Cross multiply
    148.35x = 221.22 × 136.53
  4. Step 4: Simplify right side
    148.35x = 30,203.17
  5. Step 5: Solve for x
    x = 30,203.17/148.35
  6. Step 6: Final answer
    x = 203.59

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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.