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Finding the Fourth Proportional to 256, 385.92 and 252.16

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Solution

The fourth proportional to 256, 385.92 and 252.16 is: 380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 385.92 = 252.16 : x
  2. Step 2: Convert to fraction form
    256/385.92 = 252.16/x
  3. Step 3: Cross multiply
    256x = 385.92 × 252.16
  4. Step 4: Simplify right side
    256x = 97,313.59
  5. Step 5: Solve for x
    x = 97,313.59/256
  6. Step 6: Final answer
    x = 380.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.