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Finding the Fourth Proportional to 586.82, 880.12 and 196.78

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Solution

The fourth proportional to 586.82, 880.12 and 196.78 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.82 : 880.12 = 196.78 : x
  2. Step 2: Convert to fraction form
    586.82/880.12 = 196.78/x
  3. Step 3: Cross multiply
    586.82x = 880.12 × 196.78
  4. Step 4: Simplify right side
    586.82x = 173,190.01
  5. Step 5: Solve for x
    x = 173,190.01/586.82
  6. Step 6: Final answer
    x = 295.13

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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.