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Finding the Fourth Proportional to 194.18, 266.37 and 176.90

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Solution

The fourth proportional to 194.18, 266.37 and 176.90 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.18 : 266.37 = 176.90 : x
  2. Step 2: Convert to fraction form
    194.18/266.37 = 176.90/x
  3. Step 3: Cross multiply
    194.18x = 266.37 × 176.90
  4. Step 4: Simplify right side
    194.18x = 47,119.97
  5. Step 5: Solve for x
    x = 47,119.97/194.18
  6. Step 6: Final answer
    x = 242.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.