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Finding the Fourth Proportional to 317.90, 477.29 and 163.94

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Solution

The fourth proportional to 317.90, 477.29 and 163.94 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 477.29 = 163.94 : x
  2. Step 2: Convert to fraction form
    317.90/477.29 = 163.94/x
  3. Step 3: Cross multiply
    317.90x = 477.29 × 163.94
  4. Step 4: Simplify right side
    317.90x = 78,243.72
  5. Step 5: Solve for x
    x = 78,243.72/317.90
  6. Step 6: Final answer
    x = 246.13

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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.