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Finding the Fourth Proportional to 266.01, 396.42 and 257.31

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Solution

The fourth proportional to 266.01, 396.42 and 257.31 is: 383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 396.42 = 257.31 : x
  2. Step 2: Convert to fraction form
    266.01/396.42 = 257.31/x
  3. Step 3: Cross multiply
    266.01x = 396.42 × 257.31
  4. Step 4: Simplify right side
    266.01x = 102,002.83
  5. Step 5: Solve for x
    x = 102,002.83/266.01
  6. Step 6: Final answer
    x = 383.45

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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.