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Finding the Fourth Proportional to 351.11, 524.72 and 314.98

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Solution

The fourth proportional to 351.11, 524.72 and 314.98 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.11 : 524.72 = 314.98 : x
  2. Step 2: Convert to fraction form
    351.11/524.72 = 314.98/x
  3. Step 3: Cross multiply
    351.11x = 524.72 × 314.98
  4. Step 4: Simplify right side
    351.11x = 165,273.42
  5. Step 5: Solve for x
    x = 165,273.42/351.11
  6. Step 6: Final answer
    x = 470.71

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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.