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Finding the Fourth Proportional to 317.76, 475.59 and 233.91

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Solution

The fourth proportional to 317.76, 475.59 and 233.91 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 475.59 = 233.91 : x
  2. Step 2: Convert to fraction form
    317.76/475.59 = 233.91/x
  3. Step 3: Cross multiply
    317.76x = 475.59 × 233.91
  4. Step 4: Simplify right side
    317.76x = 111,245.26
  5. Step 5: Solve for x
    x = 111,245.26/317.76
  6. Step 6: Final answer
    x = 350.09

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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.