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Finding the Fourth Proportional to 266.01, 397.16 and 220.47

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Solution

The fourth proportional to 266.01, 397.16 and 220.47 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 397.16 = 220.47 : x
  2. Step 2: Convert to fraction form
    266.01/397.16 = 220.47/x
  3. Step 3: Cross multiply
    266.01x = 397.16 × 220.47
  4. Step 4: Simplify right side
    266.01x = 87,560.76
  5. Step 5: Solve for x
    x = 87,560.76/266.01
  6. Step 6: Final answer
    x = 329.16

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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.