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Finding the Fourth Proportional to 317.50, 475.63 and 162.97

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Solution

The fourth proportional to 317.50, 475.63 and 162.97 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 475.63 = 162.97 : x
  2. Step 2: Convert to fraction form
    317.50/475.63 = 162.97/x
  3. Step 3: Cross multiply
    317.50x = 475.63 × 162.97
  4. Step 4: Simplify right side
    317.50x = 77,513.42
  5. Step 5: Solve for x
    x = 77,513.42/317.50
  6. Step 6: Final answer
    x = 244.14

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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.