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Finding the Fourth Proportional to 268.26, 402.12 and 256.65

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Solution

The fourth proportional to 268.26, 402.12 and 256.65 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.26 : 402.12 = 256.65 : x
  2. Step 2: Convert to fraction form
    268.26/402.12 = 256.65/x
  3. Step 3: Cross multiply
    268.26x = 402.12 × 256.65
  4. Step 4: Simplify right side
    268.26x = 103,204.10
  5. Step 5: Solve for x
    x = 103,204.10/268.26
  6. Step 6: Final answer
    x = 384.72

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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.