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Finding the Fourth Proportional to 193.96, 289.54 and 176.95

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Solution

The fourth proportional to 193.96, 289.54 and 176.95 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 289.54 = 176.95 : x
  2. Step 2: Convert to fraction form
    193.96/289.54 = 176.95/x
  3. Step 3: Cross multiply
    193.96x = 289.54 × 176.95
  4. Step 4: Simplify right side
    193.96x = 51,234.10
  5. Step 5: Solve for x
    x = 51,234.10/193.96
  6. Step 6: Final answer
    x = 264.15

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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.