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Finding the Fourth Proportional to 193.88, 291.03 and 78.41

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Solution

The fourth proportional to 193.88, 291.03 and 78.41 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 291.03 = 78.41 : x
  2. Step 2: Convert to fraction form
    193.88/291.03 = 78.41/x
  3. Step 3: Cross multiply
    193.88x = 291.03 × 78.41
  4. Step 4: Simplify right side
    193.88x = 22,818.50
  5. Step 5: Solve for x
    x = 22,818.50/193.88
  6. Step 6: Final answer
    x = 117.69

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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.