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Finding the Fourth Proportional to 292.62, 439.20 and 196.50

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Solution

The fourth proportional to 292.62, 439.20 and 196.50 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 439.20 = 196.50 : x
  2. Step 2: Convert to fraction form
    292.62/439.20 = 196.50/x
  3. Step 3: Cross multiply
    292.62x = 439.20 × 196.50
  4. Step 4: Simplify right side
    292.62x = 86,302.80
  5. Step 5: Solve for x
    x = 86,302.80/292.62
  6. Step 6: Final answer
    x = 294.93

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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.