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Finding the Fourth Proportional to 195.66, 292.17 and 194.52

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Solution

The fourth proportional to 195.66, 292.17 and 194.52 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 292.17 = 194.52 : x
  2. Step 2: Convert to fraction form
    195.66/292.17 = 194.52/x
  3. Step 3: Cross multiply
    195.66x = 292.17 × 194.52
  4. Step 4: Simplify right side
    195.66x = 56,832.91
  5. Step 5: Solve for x
    x = 56,832.91/195.66
  6. Step 6: Final answer
    x = 290.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.