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Finding the Fourth Proportional to 266.79, 397.86 and 255.18

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Solution

The fourth proportional to 266.79, 397.86 and 255.18 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 397.86 = 255.18 : x
  2. Step 2: Convert to fraction form
    266.79/397.86 = 255.18/x
  3. Step 3: Cross multiply
    266.79x = 397.86 × 255.18
  4. Step 4: Simplify right side
    266.79x = 101,525.91
  5. Step 5: Solve for x
    x = 101,525.91/266.79
  6. Step 6: Final answer
    x = 380.55

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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.