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Finding the Fourth Proportional to 215.48, 323.00 and 85.55

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Solution

The fourth proportional to 215.48, 323.00 and 85.55 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.48 : 323.00 = 85.55 : x
  2. Step 2: Convert to fraction form
    215.48/323.00 = 85.55/x
  3. Step 3: Cross multiply
    215.48x = 323.00 × 85.55
  4. Step 4: Simplify right side
    215.48x = 27,633.03
  5. Step 5: Solve for x
    x = 27,633.03/215.48
  6. Step 6: Final answer
    x = 128.24

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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.