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Finding the Fourth Proportional to 194.78, 292.24 and 90.71

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Solution

The fourth proportional to 194.78, 292.24 and 90.71 is: 136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 292.24 = 90.71 : x
  2. Step 2: Convert to fraction form
    194.78/292.24 = 90.71/x
  3. Step 3: Cross multiply
    194.78x = 292.24 × 90.71
  4. Step 4: Simplify right side
    194.78x = 26,509.09
  5. Step 5: Solve for x
    x = 26,509.09/194.78
  6. Step 6: Final answer
    x = 136.10

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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.