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Finding the Fourth Proportional to 499.38, 749.15 and 210.75

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Solution

The fourth proportional to 499.38, 749.15 and 210.75 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.38 : 749.15 = 210.75 : x
  2. Step 2: Convert to fraction form
    499.38/749.15 = 210.75/x
  3. Step 3: Cross multiply
    499.38x = 749.15 × 210.75
  4. Step 4: Simplify right side
    499.38x = 157,882.31
  5. Step 5: Solve for x
    x = 157,882.31/499.38
  6. Step 6: Final answer
    x = 316.16

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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.