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Finding the Fourth Proportional to 193.17, 288.35 and 178.71

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Solution

The fourth proportional to 193.17, 288.35 and 178.71 is: 266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 288.35 = 178.71 : x
  2. Step 2: Convert to fraction form
    193.17/288.35 = 178.71/x
  3. Step 3: Cross multiply
    193.17x = 288.35 × 178.71
  4. Step 4: Simplify right side
    193.17x = 51,531.03
  5. Step 5: Solve for x
    x = 51,531.03/193.17
  6. Step 6: Final answer
    x = 266.77

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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.