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Finding the Fourth Proportional to 410.25, 564.53 and 311.61

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Solution

The fourth proportional to 410.25, 564.53 and 311.61 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 564.53 = 311.61 : x
  2. Step 2: Convert to fraction form
    410.25/564.53 = 311.61/x
  3. Step 3: Cross multiply
    410.25x = 564.53 × 311.61
  4. Step 4: Simplify right side
    410.25x = 175,911.64
  5. Step 5: Solve for x
    x = 175,911.64/410.25
  6. Step 6: Final answer
    x = 428.79

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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.