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Finding the Fourth Proportional to 147.27, 219.93 and 118.43

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Solution

The fourth proportional to 147.27, 219.93 and 118.43 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 219.93 = 118.43 : x
  2. Step 2: Convert to fraction form
    147.27/219.93 = 118.43/x
  3. Step 3: Cross multiply
    147.27x = 219.93 × 118.43
  4. Step 4: Simplify right side
    147.27x = 26,046.31
  5. Step 5: Solve for x
    x = 26,046.31/147.27
  6. Step 6: Final answer
    x = 176.86

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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.