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Finding the Fourth Proportional to 213.05, 318.12 and 188.13

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Solution

The fourth proportional to 213.05, 318.12 and 188.13 is: 280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 318.12 = 188.13 : x
  2. Step 2: Convert to fraction form
    213.05/318.12 = 188.13/x
  3. Step 3: Cross multiply
    213.05x = 318.12 × 188.13
  4. Step 4: Simplify right side
    213.05x = 59,847.92
  5. Step 5: Solve for x
    x = 59,847.92/213.05
  6. Step 6: Final answer
    x = 280.91

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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.