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Finding the Fourth Proportional to 147.80, 220.45 and 137.72

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Solution

The fourth proportional to 147.80, 220.45 and 137.72 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 220.45 = 137.72 : x
  2. Step 2: Convert to fraction form
    147.80/220.45 = 137.72/x
  3. Step 3: Cross multiply
    147.80x = 220.45 × 137.72
  4. Step 4: Simplify right side
    147.80x = 30,360.37
  5. Step 5: Solve for x
    x = 30,360.37/147.80
  6. Step 6: Final answer
    x = 205.42

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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.