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Finding the Fourth Proportional to 212.85, 319.28 and 104.60

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Solution

The fourth proportional to 212.85, 319.28 and 104.60 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.85 : 319.28 = 104.60 : x
  2. Step 2: Convert to fraction form
    212.85/319.28 = 104.60/x
  3. Step 3: Cross multiply
    212.85x = 319.28 × 104.60
  4. Step 4: Simplify right side
    212.85x = 33,394.57
  5. Step 5: Solve for x
    x = 33,394.57/212.85
  6. Step 6: Final answer
    x = 156.89

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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.