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Finding the Fourth Proportional to 148.38, 223.87 and 147.98

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Solution

The fourth proportional to 148.38, 223.87 and 147.98 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.38 : 223.87 = 147.98 : x
  2. Step 2: Convert to fraction form
    148.38/223.87 = 147.98/x
  3. Step 3: Cross multiply
    148.38x = 223.87 × 147.98
  4. Step 4: Simplify right side
    148.38x = 33,127.54
  5. Step 5: Solve for x
    x = 33,127.54/148.38
  6. Step 6: Final answer
    x = 223.26

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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.