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Finding the Fourth Proportional to 411.28, 567.54 and 224.76

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Solution

The fourth proportional to 411.28, 567.54 and 224.76 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 567.54 = 224.76 : x
  2. Step 2: Convert to fraction form
    411.28/567.54 = 224.76/x
  3. Step 3: Cross multiply
    411.28x = 567.54 × 224.76
  4. Step 4: Simplify right side
    411.28x = 127,560.29
  5. Step 5: Solve for x
    x = 127,560.29/411.28
  6. Step 6: Final answer
    x = 310.15

Related Problems

Find fourth proportional to 205.64, 283.77 and 112.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.