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Finding the Fourth Proportional to 653.98, 980.76 and 221.20

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Solution

The fourth proportional to 653.98, 980.76 and 221.20 is: 331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 980.76 = 221.20 : x
  2. Step 2: Convert to fraction form
    653.98/980.76 = 221.20/x
  3. Step 3: Cross multiply
    653.98x = 980.76 × 221.20
  4. Step 4: Simplify right side
    653.98x = 216,944.11
  5. Step 5: Solve for x
    x = 216,944.11/653.98
  6. Step 6: Final answer
    x = 331.73

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Double scale
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Similar ratio
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1.5x scale

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.