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Finding the Fourth Proportional to 586.88, 880.13 and 196.79

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Solution

The fourth proportional to 586.88, 880.13 and 196.79 is: 295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.88 : 880.13 = 196.79 : x
  2. Step 2: Convert to fraction form
    586.88/880.13 = 196.79/x
  3. Step 3: Cross multiply
    586.88x = 880.13 × 196.79
  4. Step 4: Simplify right side
    586.88x = 173,200.78
  5. Step 5: Solve for x
    x = 173,200.78/586.88
  6. Step 6: Final answer
    x = 295.12

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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.