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Finding the Fourth Proportional to 317.75, 476.57 and 86.59

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Solution

The fourth proportional to 317.75, 476.57 and 86.59 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 476.57 = 86.59 : x
  2. Step 2: Convert to fraction form
    317.75/476.57 = 86.59/x
  3. Step 3: Cross multiply
    317.75x = 476.57 × 86.59
  4. Step 4: Simplify right side
    317.75x = 41,266.20
  5. Step 5: Solve for x
    x = 41,266.20/317.75
  6. Step 6: Final answer
    x = 129.87

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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.