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Finding the Fourth Proportional to 411.98, 568.53 and 225.47

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Solution

The fourth proportional to 411.98, 568.53 and 225.47 is: 311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 568.53 = 225.47 : x
  2. Step 2: Convert to fraction form
    411.98/568.53 = 225.47/x
  3. Step 3: Cross multiply
    411.98x = 568.53 × 225.47
  4. Step 4: Simplify right side
    411.98x = 128,186.46
  5. Step 5: Solve for x
    x = 128,186.46/411.98
  6. Step 6: Final answer
    x = 311.15

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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.