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Finding the Fourth Proportional to 256.64, 356.30 and 248.72

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Solution

The fourth proportional to 256.64, 356.30 and 248.72 is: 345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 356.30 = 248.72 : x
  2. Step 2: Convert to fraction form
    256.64/356.30 = 248.72/x
  3. Step 3: Cross multiply
    256.64x = 356.30 × 248.72
  4. Step 4: Simplify right side
    256.64x = 88,618.94
  5. Step 5: Solve for x
    x = 88,618.94/256.64
  6. Step 6: Final answer
    x = 345.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.