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Finding the Fourth Proportional to 215.27, 322.80 and 99.66

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Solution

The fourth proportional to 215.27, 322.80 and 99.66 is: 149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.27 : 322.80 = 99.66 : x
  2. Step 2: Convert to fraction form
    215.27/322.80 = 99.66/x
  3. Step 3: Cross multiply
    215.27x = 322.80 × 99.66
  4. Step 4: Simplify right side
    215.27x = 32,169.87
  5. Step 5: Solve for x
    x = 32,169.87/215.27
  6. Step 6: Final answer
    x = 149.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.