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Finding the Fourth Proportional to 256.86, 351.84 and 247.14

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Solution

The fourth proportional to 256.86, 351.84 and 247.14 is: 338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 351.84 = 247.14 : x
  2. Step 2: Convert to fraction form
    256.86/351.84 = 247.14/x
  3. Step 3: Cross multiply
    256.86x = 351.84 × 247.14
  4. Step 4: Simplify right side
    256.86x = 86,953.74
  5. Step 5: Solve for x
    x = 86,953.74/256.86
  6. Step 6: Final answer
    x = 338.53

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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.