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Finding the Fourth Proportional to 215.72, 297.62 and 132.85

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Solution

The fourth proportional to 215.72, 297.62 and 132.85 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.72 : 297.62 = 132.85 : x
  2. Step 2: Convert to fraction form
    215.72/297.62 = 132.85/x
  3. Step 3: Cross multiply
    215.72x = 297.62 × 132.85
  4. Step 4: Simplify right side
    215.72x = 39,537.41
  5. Step 5: Solve for x
    x = 39,537.41/215.72
  6. Step 6: Final answer
    x = 183.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.