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Finding the Fourth Proportional to 194.85, 292.25 and 57.92

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Solution

The fourth proportional to 194.85, 292.25 and 57.92 is: 86.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 292.25 = 57.92 : x
  2. Step 2: Convert to fraction form
    194.85/292.25 = 57.92/x
  3. Step 3: Cross multiply
    194.85x = 292.25 × 57.92
  4. Step 4: Simplify right side
    194.85x = 16,925.80
  5. Step 5: Solve for x
    x = 16,925.80/194.85
  6. Step 6: Final answer
    x = 86.87

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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.