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Finding the Fourth Proportional to 193.15, 289.21 and 176.90

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Solution

The fourth proportional to 193.15, 289.21 and 176.90 is: 264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.15 : 289.21 = 176.90 : x
  2. Step 2: Convert to fraction form
    193.15/289.21 = 176.90/x
  3. Step 3: Cross multiply
    193.15x = 289.21 × 176.90
  4. Step 4: Simplify right side
    193.15x = 51,161.25
  5. Step 5: Solve for x
    x = 51,161.25/193.15
  6. Step 6: Final answer
    x = 264.88

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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.