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Finding the Fourth Proportional to 317.75, 479.48 and 306.29

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Solution

The fourth proportional to 317.75, 479.48 and 306.29 is: 462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 479.48 = 306.29 : x
  2. Step 2: Convert to fraction form
    317.75/479.48 = 306.29/x
  3. Step 3: Cross multiply
    317.75x = 479.48 × 306.29
  4. Step 4: Simplify right side
    317.75x = 146,859.60
  5. Step 5: Solve for x
    x = 146,859.60/317.75
  6. Step 6: Final answer
    x = 462.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.