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Finding the Fourth Proportional to 147.28, 219.94 and 118.42

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Solution

The fourth proportional to 147.28, 219.94 and 118.42 is: 176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.28 : 219.94 = 118.42 : x
  2. Step 2: Convert to fraction form
    147.28/219.94 = 118.42/x
  3. Step 3: Cross multiply
    147.28x = 219.94 × 118.42
  4. Step 4: Simplify right side
    147.28x = 26,045.29
  5. Step 5: Solve for x
    x = 26,045.29/147.28
  6. Step 6: Final answer
    x = 176.84

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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.