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Finding the Fourth Proportional to 147.41, 220.84 and 140.75

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Solution

The fourth proportional to 147.41, 220.84 and 140.75 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.41 : 220.84 = 140.75 : x
  2. Step 2: Convert to fraction form
    147.41/220.84 = 140.75/x
  3. Step 3: Cross multiply
    147.41x = 220.84 × 140.75
  4. Step 4: Simplify right side
    147.41x = 31,083.23
  5. Step 5: Solve for x
    x = 31,083.23/147.41
  6. Step 6: Final answer
    x = 210.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.