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Finding the Fourth Proportional to 256.47, 352.02 and 242.80

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Solution

The fourth proportional to 256.47, 352.02 and 242.80 is: 333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 352.02 = 242.80 : x
  2. Step 2: Convert to fraction form
    256.47/352.02 = 242.80/x
  3. Step 3: Cross multiply
    256.47x = 352.02 × 242.80
  4. Step 4: Simplify right side
    256.47x = 85,470.46
  5. Step 5: Solve for x
    x = 85,470.46/256.47
  6. Step 6: Final answer
    x = 333.26

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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.