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Finding the Fourth Proportional to 266.15, 398.79 and 256.02

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Solution

The fourth proportional to 266.15, 398.79 and 256.02 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.15 : 398.79 = 256.02 : x
  2. Step 2: Convert to fraction form
    266.15/398.79 = 256.02/x
  3. Step 3: Cross multiply
    266.15x = 398.79 × 256.02
  4. Step 4: Simplify right side
    266.15x = 102,098.22
  5. Step 5: Solve for x
    x = 102,098.22/266.15
  6. Step 6: Final answer
    x = 383.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.