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Finding the Fourth Proportional to 147.98, 221 and 132.86

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Solution

The fourth proportional to 147.98, 221 and 132.86 is: 198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 221 = 132.86 : x
  2. Step 2: Convert to fraction form
    147.98/221 = 132.86/x
  3. Step 3: Cross multiply
    147.98x = 221 × 132.86
  4. Step 4: Simplify right side
    147.98x = 29,362.06
  5. Step 5: Solve for x
    x = 29,362.06/147.98
  6. Step 6: Final answer
    x = 198.42

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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.