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Finding the Fourth Proportional to 215.80, 325.39 and 213.10

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Solution

The fourth proportional to 215.80, 325.39 and 213.10 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 325.39 = 213.10 : x
  2. Step 2: Convert to fraction form
    215.80/325.39 = 213.10/x
  3. Step 3: Cross multiply
    215.80x = 325.39 × 213.10
  4. Step 4: Simplify right side
    215.80x = 69,340.61
  5. Step 5: Solve for x
    x = 69,340.61/215.80
  6. Step 6: Final answer
    x = 321.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.