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Finding the Fourth Proportional to 266.49, 396.59 and 256.77

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Solution

The fourth proportional to 266.49, 396.59 and 256.77 is: 382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.49 : 396.59 = 256.77 : x
  2. Step 2: Convert to fraction form
    266.49/396.59 = 256.77/x
  3. Step 3: Cross multiply
    266.49x = 396.59 × 256.77
  4. Step 4: Simplify right side
    266.49x = 101,832.41
  5. Step 5: Solve for x
    x = 101,832.41/266.49
  6. Step 6: Final answer
    x = 382.12

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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.