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Finding the Fourth Proportional to 147.63, 220.69 and 116.85

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Solution

The fourth proportional to 147.63, 220.69 and 116.85 is: 174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.63 : 220.69 = 116.85 : x
  2. Step 2: Convert to fraction form
    147.63/220.69 = 116.85/x
  3. Step 3: Cross multiply
    147.63x = 220.69 × 116.85
  4. Step 4: Simplify right side
    147.63x = 25,787.33
  5. Step 5: Solve for x
    x = 25,787.33/147.63
  6. Step 6: Final answer
    x = 174.68

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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.