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Finding the Fourth Proportional to 342.28, 511.28 and 225.76

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Solution

The fourth proportional to 342.28, 511.28 and 225.76 is: 337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 511.28 = 225.76 : x
  2. Step 2: Convert to fraction form
    342.28/511.28 = 225.76/x
  3. Step 3: Cross multiply
    342.28x = 511.28 × 225.76
  4. Step 4: Simplify right side
    342.28x = 115,426.57
  5. Step 5: Solve for x
    x = 115,426.57/342.28
  6. Step 6: Final answer
    x = 337.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.