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Finding the Fourth Proportional to 266.03, 396.32 and 256.23

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Solution

The fourth proportional to 266.03, 396.32 and 256.23 is: 381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.03 : 396.32 = 256.23 : x
  2. Step 2: Convert to fraction form
    266.03/396.32 = 256.23/x
  3. Step 3: Cross multiply
    266.03x = 396.32 × 256.23
  4. Step 4: Simplify right side
    266.03x = 101,550.24
  5. Step 5: Solve for x
    x = 101,550.24/266.03
  6. Step 6: Final answer
    x = 381.73

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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.