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Finding the Fourth Proportional to 499.14, 748.71 and 210.42

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Solution

The fourth proportional to 499.14, 748.71 and 210.42 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.14 : 748.71 = 210.42 : x
  2. Step 2: Convert to fraction form
    499.14/748.71 = 210.42/x
  3. Step 3: Cross multiply
    499.14x = 748.71 × 210.42
  4. Step 4: Simplify right side
    499.14x = 157,543.56
  5. Step 5: Solve for x
    x = 157,543.56/499.14
  6. Step 6: Final answer
    x = 315.63

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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.