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Finding the Fourth Proportional to 211.30, 317.16 and 165.14

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Solution

The fourth proportional to 211.30, 317.16 and 165.14 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 317.16 = 165.14 : x
  2. Step 2: Convert to fraction form
    211.30/317.16 = 165.14/x
  3. Step 3: Cross multiply
    211.30x = 317.16 × 165.14
  4. Step 4: Simplify right side
    211.30x = 52,375.80
  5. Step 5: Solve for x
    x = 52,375.80/211.30
  6. Step 6: Final answer
    x = 247.87

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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.