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Finding the Fourth Proportional to 266.33, 396.88 and 257.63

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Solution

The fourth proportional to 266.33, 396.88 and 257.63 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.33 : 396.88 = 257.63 : x
  2. Step 2: Convert to fraction form
    266.33/396.88 = 257.63/x
  3. Step 3: Cross multiply
    266.33x = 396.88 × 257.63
  4. Step 4: Simplify right side
    266.33x = 102,248.19
  5. Step 5: Solve for x
    x = 102,248.19/266.33
  6. Step 6: Final answer
    x = 383.92

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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.