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Finding the Fourth Proportional to 147.76, 220.76 and 142.72

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Solution

The fourth proportional to 147.76, 220.76 and 142.72 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.76 : 220.76 = 142.72 : x
  2. Step 2: Convert to fraction form
    147.76/220.76 = 142.72/x
  3. Step 3: Cross multiply
    147.76x = 220.76 × 142.72
  4. Step 4: Simplify right side
    147.76x = 31,506.87
  5. Step 5: Solve for x
    x = 31,506.87/147.76
  6. Step 6: Final answer
    x = 213.23

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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.