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Finding the Fourth Proportional to 266.86, 398.26 and 256.28

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Solution

The fourth proportional to 266.86, 398.26 and 256.28 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.86 : 398.26 = 256.28 : x
  2. Step 2: Convert to fraction form
    266.86/398.26 = 256.28/x
  3. Step 3: Cross multiply
    266.86x = 398.26 × 256.28
  4. Step 4: Simplify right side
    266.86x = 102,066.07
  5. Step 5: Solve for x
    x = 102,066.07/266.86
  6. Step 6: Final answer
    x = 382.47

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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.