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Finding the Fourth Proportional to 193.35, 266.76 and 115.77

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Solution

The fourth proportional to 193.35, 266.76 and 115.77 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 266.76 = 115.77 : x
  2. Step 2: Convert to fraction form
    193.35/266.76 = 115.77/x
  3. Step 3: Cross multiply
    193.35x = 266.76 × 115.77
  4. Step 4: Simplify right side
    193.35x = 30,882.81
  5. Step 5: Solve for x
    x = 30,882.81/193.35
  6. Step 6: Final answer
    x = 159.72

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