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Finding the Fourth Proportional to 193.20, 266.66 and 114.50

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Solution

The fourth proportional to 193.20, 266.66 and 114.50 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 266.66 = 114.50 : x
  2. Step 2: Convert to fraction form
    193.20/266.66 = 114.50/x
  3. Step 3: Cross multiply
    193.20x = 266.66 × 114.50
  4. Step 4: Simplify right side
    193.20x = 30,532.57
  5. Step 5: Solve for x
    x = 30,532.57/193.20
  6. Step 6: Final answer
    x = 158.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.