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Finding the Fourth Proportional to 266.32, 397.60 and 220.72

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Solution

The fourth proportional to 266.32, 397.60 and 220.72 is: 329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.32 : 397.60 = 220.72 : x
  2. Step 2: Convert to fraction form
    266.32/397.60 = 220.72/x
  3. Step 3: Cross multiply
    266.32x = 397.60 × 220.72
  4. Step 4: Simplify right side
    266.32x = 87,758.27
  5. Step 5: Solve for x
    x = 87,758.27/266.32
  6. Step 6: Final answer
    x = 329.52

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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.