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Finding the Fourth Proportional to 335.09, 499.10 and 317.75

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Solution

The fourth proportional to 335.09, 499.10 and 317.75 is: 473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.09 : 499.10 = 317.75 : x
  2. Step 2: Convert to fraction form
    335.09/499.10 = 317.75/x
  3. Step 3: Cross multiply
    335.09x = 499.10 × 317.75
  4. Step 4: Simplify right side
    335.09x = 158,589.03
  5. Step 5: Solve for x
    x = 158,589.03/335.09
  6. Step 6: Final answer
    x = 473.27

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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.