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Finding the Fourth Proportional to 147.07, 219.78 and 116.31

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Solution

The fourth proportional to 147.07, 219.78 and 116.31 is: 173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.07 : 219.78 = 116.31 : x
  2. Step 2: Convert to fraction form
    147.07/219.78 = 116.31/x
  3. Step 3: Cross multiply
    147.07x = 219.78 × 116.31
  4. Step 4: Simplify right side
    147.07x = 25,562.61
  5. Step 5: Solve for x
    x = 25,562.61/147.07
  6. Step 6: Final answer
    x = 173.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.