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Finding the Fourth Proportional to 194.30, 289.98 and 178.55

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Solution

The fourth proportional to 194.30, 289.98 and 178.55 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.30 : 289.98 = 178.55 : x
  2. Step 2: Convert to fraction form
    194.30/289.98 = 178.55/x
  3. Step 3: Cross multiply
    194.30x = 289.98 × 178.55
  4. Step 4: Simplify right side
    194.30x = 51,775.93
  5. Step 5: Solve for x
    x = 51,775.93/194.30
  6. Step 6: Final answer
    x = 266.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.