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Finding the Fourth Proportional to 317.76, 476.91 and 163.78

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Solution

The fourth proportional to 317.76, 476.91 and 163.78 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 476.91 = 163.78 : x
  2. Step 2: Convert to fraction form
    317.76/476.91 = 163.78/x
  3. Step 3: Cross multiply
    317.76x = 476.91 × 163.78
  4. Step 4: Simplify right side
    317.76x = 78,108.32
  5. Step 5: Solve for x
    x = 78,108.32/317.76
  6. Step 6: Final answer
    x = 245.81

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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.