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Finding the Fourth Proportional to 147.80, 220.88 and 104.30

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Solution

The fourth proportional to 147.80, 220.88 and 104.30 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 220.88 = 104.30 : x
  2. Step 2: Convert to fraction form
    147.80/220.88 = 104.30/x
  3. Step 3: Cross multiply
    147.80x = 220.88 × 104.30
  4. Step 4: Simplify right side
    147.80x = 23,037.78
  5. Step 5: Solve for x
    x = 23,037.78/147.80
  6. Step 6: Final answer
    x = 155.87

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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.