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Finding the Fourth Proportional to 194.90, 292.50 and 86.78

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Solution

The fourth proportional to 194.90, 292.50 and 86.78 is: 130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 292.50 = 86.78 : x
  2. Step 2: Convert to fraction form
    194.90/292.50 = 86.78/x
  3. Step 3: Cross multiply
    194.90x = 292.50 × 86.78
  4. Step 4: Simplify right side
    194.90x = 25,383.15
  5. Step 5: Solve for x
    x = 25,383.15/194.90
  6. Step 6: Final answer
    x = 130.24

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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.