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Finding the Fourth Proportional to 256.47, 386.09 and 234.15

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Solution

The fourth proportional to 256.47, 386.09 and 234.15 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 386.09 = 234.15 : x
  2. Step 2: Convert to fraction form
    256.47/386.09 = 234.15/x
  3. Step 3: Cross multiply
    256.47x = 386.09 × 234.15
  4. Step 4: Simplify right side
    256.47x = 90,401.80
  5. Step 5: Solve for x
    x = 90,401.80/256.47
  6. Step 6: Final answer
    x = 352.48

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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.