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Finding the Fourth Proportional to 212.48, 319.20 and 116.24

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Solution

The fourth proportional to 212.48, 319.20 and 116.24 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 319.20 = 116.24 : x
  2. Step 2: Convert to fraction form
    212.48/319.20 = 116.24/x
  3. Step 3: Cross multiply
    212.48x = 319.20 × 116.24
  4. Step 4: Simplify right side
    212.48x = 37,103.81
  5. Step 5: Solve for x
    x = 37,103.81/212.48
  6. Step 6: Final answer
    x = 174.62

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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.