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Finding the Fourth Proportional to 256.06, 386.20 and 247.85

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Solution

The fourth proportional to 256.06, 386.20 and 247.85 is: 373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 386.20 = 247.85 : x
  2. Step 2: Convert to fraction form
    256.06/386.20 = 247.85/x
  3. Step 3: Cross multiply
    256.06x = 386.20 × 247.85
  4. Step 4: Simplify right side
    256.06x = 95,719.67
  5. Step 5: Solve for x
    x = 95,719.67/256.06
  6. Step 6: Final answer
    x = 373.82

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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.