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Finding the Fourth Proportional to 266.82, 397.96 and 258.72

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Solution

The fourth proportional to 266.82, 397.96 and 258.72 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 397.96 = 258.72 : x
  2. Step 2: Convert to fraction form
    266.82/397.96 = 258.72/x
  3. Step 3: Cross multiply
    266.82x = 397.96 × 258.72
  4. Step 4: Simplify right side
    266.82x = 102,960.21
  5. Step 5: Solve for x
    x = 102,960.21/266.82
  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.