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Finding the Fourth Proportional to 212.65, 319.14 and 104.38

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Solution

The fourth proportional to 212.65, 319.14 and 104.38 is: 156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.65 : 319.14 = 104.38 : x
  2. Step 2: Convert to fraction form
    212.65/319.14 = 104.38/x
  3. Step 3: Cross multiply
    212.65x = 319.14 × 104.38
  4. Step 4: Simplify right side
    212.65x = 33,311.83
  5. Step 5: Solve for x
    x = 33,311.83/212.65
  6. Step 6: Final answer
    x = 156.65

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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.