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Finding the Fourth Proportional to 256.57, 351.74 and 252.32

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Solution

The fourth proportional to 256.57, 351.74 and 252.32 is: 345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 351.74 = 252.32 : x
  2. Step 2: Convert to fraction form
    256.57/351.74 = 252.32/x
  3. Step 3: Cross multiply
    256.57x = 351.74 × 252.32
  4. Step 4: Simplify right side
    256.57x = 88,749.91
  5. Step 5: Solve for x
    x = 88,749.91/256.57
  6. Step 6: Final answer
    x = 345.91

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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.