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Finding the Fourth Proportional to 349.27, 522.78 and 316.45

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Solution

The fourth proportional to 349.27, 522.78 and 316.45 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.27 : 522.78 = 316.45 : x
  2. Step 2: Convert to fraction form
    349.27/522.78 = 316.45/x
  3. Step 3: Cross multiply
    349.27x = 522.78 × 316.45
  4. Step 4: Simplify right side
    349.27x = 165,433.73
  5. Step 5: Solve for x
    x = 165,433.73/349.27
  6. Step 6: Final answer
    x = 473.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.