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Finding the Fourth Proportional to 213.74, 319.02 and 189.10

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Solution

The fourth proportional to 213.74, 319.02 and 189.10 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 319.02 = 189.10 : x
  2. Step 2: Convert to fraction form
    213.74/319.02 = 189.10/x
  3. Step 3: Cross multiply
    213.74x = 319.02 × 189.10
  4. Step 4: Simplify right side
    213.74x = 60,326.68
  5. Step 5: Solve for x
    x = 60,326.68/213.74
  6. Step 6: Final answer
    x = 282.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.