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Finding the Fourth Proportional to 148.48, 223.85 and 138.58

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Solution

The fourth proportional to 148.48, 223.85 and 138.58 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.48 : 223.85 = 138.58 : x
  2. Step 2: Convert to fraction form
    148.48/223.85 = 138.58/x
  3. Step 3: Cross multiply
    148.48x = 223.85 × 138.58
  4. Step 4: Simplify right side
    148.48x = 31,021.13
  5. Step 5: Solve for x
    x = 31,021.13/148.48
  6. Step 6: Final answer
    x = 208.92

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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.