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Finding the Fourth Proportional to 194.08, 292.12 and 170.56

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Solution

The fourth proportional to 194.08, 292.12 and 170.56 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 292.12 = 170.56 : x
  2. Step 2: Convert to fraction form
    194.08/292.12 = 170.56/x
  3. Step 3: Cross multiply
    194.08x = 292.12 × 170.56
  4. Step 4: Simplify right side
    194.08x = 49,823.99
  5. Step 5: Solve for x
    x = 49,823.99/194.08
  6. Step 6: Final answer
    x = 256.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.