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Finding the Fourth Proportional to 148.52, 223.87 and 138.60

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Solution

The fourth proportional to 148.52, 223.87 and 138.60 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.52 : 223.87 = 138.60 : x
  2. Step 2: Convert to fraction form
    148.52/223.87 = 138.60/x
  3. Step 3: Cross multiply
    148.52x = 223.87 × 138.60
  4. Step 4: Simplify right side
    148.52x = 31,027.69
  5. Step 5: Solve for x
    x = 31,027.69/148.52
  6. Step 6: Final answer
    x = 208.91

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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.