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Finding the Fourth Proportional to 194.65, 292.04 and 161.99

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Solution

The fourth proportional to 194.65, 292.04 and 161.99 is: 243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 292.04 = 161.99 : x
  2. Step 2: Convert to fraction form
    194.65/292.04 = 161.99/x
  3. Step 3: Cross multiply
    194.65x = 292.04 × 161.99
  4. Step 4: Simplify right side
    194.65x = 47,307.48
  5. Step 5: Solve for x
    x = 47,307.48/194.65
  6. Step 6: Final answer
    x = 243.04

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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.