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Finding the Fourth Proportional to 266.51, 396.95 and 256.95

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Solution

The fourth proportional to 266.51, 396.95 and 256.95 is: 382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.51 : 396.95 = 256.95 : x
  2. Step 2: Convert to fraction form
    266.51/396.95 = 256.95/x
  3. Step 3: Cross multiply
    266.51x = 396.95 × 256.95
  4. Step 4: Simplify right side
    266.51x = 101,995.02
  5. Step 5: Solve for x
    x = 101,995.02/266.51
  6. Step 6: Final answer
    x = 382.70

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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.