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Finding the Fourth Proportional to 147.87, 220.50 and 136.65

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Solution

The fourth proportional to 147.87, 220.50 and 136.65 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 220.50 = 136.65 : x
  2. Step 2: Convert to fraction form
    147.87/220.50 = 136.65/x
  3. Step 3: Cross multiply
    147.87x = 220.50 × 136.65
  4. Step 4: Simplify right side
    147.87x = 30,131.33
  5. Step 5: Solve for x
    x = 30,131.33/147.87
  6. Step 6: Final answer
    x = 203.77

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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.