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Finding the Fourth Proportional to 194.47, 291.46 and 172.78

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Solution

The fourth proportional to 194.47, 291.46 and 172.78 is: 258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 291.46 = 172.78 : x
  2. Step 2: Convert to fraction form
    194.47/291.46 = 172.78/x
  3. Step 3: Cross multiply
    194.47x = 291.46 × 172.78
  4. Step 4: Simplify right side
    194.47x = 50,358.46
  5. Step 5: Solve for x
    x = 50,358.46/194.47
  6. Step 6: Final answer
    x = 258.95

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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.