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Finding the Fourth Proportional to 85.59, 128.41 and 24.73

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Solution

The fourth proportional to 85.59, 128.41 and 24.73 is: 37.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.59 : 128.41 = 24.73 : x
  2. Step 2: Convert to fraction form
    85.59/128.41 = 24.73/x
  3. Step 3: Cross multiply
    85.59x = 128.41 × 24.73
  4. Step 4: Simplify right side
    85.59x = 3,174.81
  5. Step 5: Solve for x
    x = 3,174.81/85.59
  6. Step 6: Final answer
    x = 37.09

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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.