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Finding the Fourth Proportional to 318.20, 476.48 and 163.69

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Solution

The fourth proportional to 318.20, 476.48 and 163.69 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.20 : 476.48 = 163.69 : x
  2. Step 2: Convert to fraction form
    318.20/476.48 = 163.69/x
  3. Step 3: Cross multiply
    318.20x = 476.48 × 163.69
  4. Step 4: Simplify right side
    318.20x = 77,994.23
  5. Step 5: Solve for x
    x = 77,994.23/318.20
  6. Step 6: Final answer
    x = 245.11

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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.