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Finding the Fourth Proportional to 215.88, 322.36 and 169.71

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Solution

The fourth proportional to 215.88, 322.36 and 169.71 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 322.36 = 169.71 : x
  2. Step 2: Convert to fraction form
    215.88/322.36 = 169.71/x
  3. Step 3: Cross multiply
    215.88x = 322.36 × 169.71
  4. Step 4: Simplify right side
    215.88x = 54,708.52
  5. Step 5: Solve for x
    x = 54,708.52/215.88
  6. Step 6: Final answer
    x = 253.42

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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.