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Finding the Fourth Proportional to 147.63, 220.49 and 133.89

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Solution

The fourth proportional to 147.63, 220.49 and 133.89 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.63 : 220.49 = 133.89 : x
  2. Step 2: Convert to fraction form
    147.63/220.49 = 133.89/x
  3. Step 3: Cross multiply
    147.63x = 220.49 × 133.89
  4. Step 4: Simplify right side
    147.63x = 29,521.41
  5. Step 5: Solve for x
    x = 29,521.41/147.63
  6. Step 6: Final answer
    x = 199.97

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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.