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Finding the Fourth Proportional to 256.77, 352.03 and 252.16

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Solution

The fourth proportional to 256.77, 352.03 and 252.16 is: 345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 352.03 = 252.16 : x
  2. Step 2: Convert to fraction form
    256.77/352.03 = 252.16/x
  3. Step 3: Cross multiply
    256.77x = 352.03 × 252.16
  4. Step 4: Simplify right side
    256.77x = 88,764.86
  5. Step 5: Solve for x
    x = 88,764.86/256.77
  6. Step 6: Final answer
    x = 345.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.