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Finding the Fourth Proportional to 266.53, 400.58 and 221.17

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Solution

The fourth proportional to 266.53, 400.58 and 221.17 is: 332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.53 : 400.58 = 221.17 : x
  2. Step 2: Convert to fraction form
    266.53/400.58 = 221.17/x
  3. Step 3: Cross multiply
    266.53x = 400.58 × 221.17
  4. Step 4: Simplify right side
    266.53x = 88,596.28
  5. Step 5: Solve for x
    x = 88,596.28/266.53
  6. Step 6: Final answer
    x = 332.41

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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.