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Finding the Fourth Proportional to 587.80, 881.61 and 197.78

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Solution

The fourth proportional to 587.80, 881.61 and 197.78 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 881.61 = 197.78 : x
  2. Step 2: Convert to fraction form
    587.80/881.61 = 197.78/x
  3. Step 3: Cross multiply
    587.80x = 881.61 × 197.78
  4. Step 4: Simplify right side
    587.80x = 174,367.03
  5. Step 5: Solve for x
    x = 174,367.03/587.80
  6. Step 6: Final answer
    x = 296.64

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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.