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Finding the Fourth Proportional to 213.20, 319.69 and 74.32

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Solution

The fourth proportional to 213.20, 319.69 and 74.32 is: 111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 319.69 = 74.32 : x
  2. Step 2: Convert to fraction form
    213.20/319.69 = 74.32/x
  3. Step 3: Cross multiply
    213.20x = 319.69 × 74.32
  4. Step 4: Simplify right side
    213.20x = 23,758.65
  5. Step 5: Solve for x
    x = 23,758.65/213.20
  6. Step 6: Final answer
    x = 111.44

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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.