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Finding the Fourth Proportional to 215.68, 322.18 and 183.28

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Solution

The fourth proportional to 215.68, 322.18 and 183.28 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.68 : 322.18 = 183.28 : x
  2. Step 2: Convert to fraction form
    215.68/322.18 = 183.28/x
  3. Step 3: Cross multiply
    215.68x = 322.18 × 183.28
  4. Step 4: Simplify right side
    215.68x = 59,049.15
  5. Step 5: Solve for x
    x = 59,049.15/215.68
  6. Step 6: Final answer
    x = 273.78

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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.