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Finding the Fourth Proportional to 148.99, 223.46 and 40.78

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Solution

The fourth proportional to 148.99, 223.46 and 40.78 is: 61.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.99 : 223.46 = 40.78 : x
  2. Step 2: Convert to fraction form
    148.99/223.46 = 40.78/x
  3. Step 3: Cross multiply
    148.99x = 223.46 × 40.78
  4. Step 4: Simplify right side
    148.99x = 9,112.70
  5. Step 5: Solve for x
    x = 9,112.70/148.99
  6. Step 6: Final answer
    x = 61.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.