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Finding the Fourth Proportional to 148.78, 224.30 and 138.34

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Solution

The fourth proportional to 148.78, 224.30 and 138.34 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.78 : 224.30 = 138.34 : x
  2. Step 2: Convert to fraction form
    148.78/224.30 = 138.34/x
  3. Step 3: Cross multiply
    148.78x = 224.30 × 138.34
  4. Step 4: Simplify right side
    148.78x = 31,029.66
  5. Step 5: Solve for x
    x = 31,029.66/148.78
  6. Step 6: Final answer
    x = 208.56

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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.