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Finding the Fourth Proportional to 256.43, 386.98 and 243.20

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Solution

The fourth proportional to 256.43, 386.98 and 243.20 is: 367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.43 : 386.98 = 243.20 : x
  2. Step 2: Convert to fraction form
    256.43/386.98 = 243.20/x
  3. Step 3: Cross multiply
    256.43x = 386.98 × 243.20
  4. Step 4: Simplify right side
    256.43x = 94,113.90
  5. Step 5: Solve for x
    x = 94,113.90/256.43
  6. Step 6: Final answer
    x = 367.01

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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.