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Finding the Fourth Proportional to 266.71, 397.69 and 266.20

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Solution

The fourth proportional to 266.71, 397.69 and 266.20 is: 396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.71 : 397.69 = 266.20 : x
  2. Step 2: Convert to fraction form
    266.71/397.69 = 266.20/x
  3. Step 3: Cross multiply
    266.71x = 397.69 × 266.20
  4. Step 4: Simplify right side
    266.71x = 105,865.08
  5. Step 5: Solve for x
    x = 105,865.08/266.71
  6. Step 6: Final answer
    x = 396.93

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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.