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Finding the Fourth Proportional to 266.81, 397.96 and 258.71

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Solution

The fourth proportional to 266.81, 397.96 and 258.71 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 397.96 = 258.71 : x
  2. Step 2: Convert to fraction form
    266.81/397.96 = 258.71/x
  3. Step 3: Cross multiply
    266.81x = 397.96 × 258.71
  4. Step 4: Simplify right side
    266.81x = 102,956.23
  5. Step 5: Solve for x
    x = 102,956.23/266.81
  6. Step 6: Final answer
    x = 385.88

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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.