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Finding the Fourth Proportional to 317.30, 475.31 and 265.80

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Solution

The fourth proportional to 317.30, 475.31 and 265.80 is: 398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 475.31 = 265.80 : x
  2. Step 2: Convert to fraction form
    317.30/475.31 = 265.80/x
  3. Step 3: Cross multiply
    317.30x = 475.31 × 265.80
  4. Step 4: Simplify right side
    317.30x = 126,338.06
  5. Step 5: Solve for x
    x = 126,338.06/317.30
  6. Step 6: Final answer
    x = 398.16

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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.