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Finding the Fourth Proportional to 256.37, 386.37 and 243.20

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Solution

The fourth proportional to 256.37, 386.37 and 243.20 is: 366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 386.37 = 243.20 : x
  2. Step 2: Convert to fraction form
    256.37/386.37 = 243.20/x
  3. Step 3: Cross multiply
    256.37x = 386.37 × 243.20
  4. Step 4: Simplify right side
    256.37x = 93,966.15
  5. Step 5: Solve for x
    x = 93,966.15/256.37
  6. Step 6: Final answer
    x = 366.53

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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.