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Finding the Fourth Proportional to 56.75, 85.15 and 27.84

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Solution

The fourth proportional to 56.75, 85.15 and 27.84 is: 41.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.75 : 85.15 = 27.84 : x
  2. Step 2: Convert to fraction form
    56.75/85.15 = 27.84/x
  3. Step 3: Cross multiply
    56.75x = 85.15 × 27.84
  4. Step 4: Simplify right side
    56.75x = 2,370.58
  5. Step 5: Solve for x
    x = 2,370.58/56.75
  6. Step 6: Final answer
    x = 41.77

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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.