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Finding the Fourth Proportional to 335.38, 499.70 and 316.75

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Solution

The fourth proportional to 335.38, 499.70 and 316.75 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.38 : 499.70 = 316.75 : x
  2. Step 2: Convert to fraction form
    335.38/499.70 = 316.75/x
  3. Step 3: Cross multiply
    335.38x = 499.70 × 316.75
  4. Step 4: Simplify right side
    335.38x = 158,279.98
  5. Step 5: Solve for x
    x = 158,279.98/335.38
  6. Step 6: Final answer
    x = 471.94

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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.