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Finding the Fourth Proportional to 193.17, 288.02 and 180.17

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Solution

The fourth proportional to 193.17, 288.02 and 180.17 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 288.02 = 180.17 : x
  2. Step 2: Convert to fraction form
    193.17/288.02 = 180.17/x
  3. Step 3: Cross multiply
    193.17x = 288.02 × 180.17
  4. Step 4: Simplify right side
    193.17x = 51,890.22
  5. Step 5: Solve for x
    x = 51,890.22/193.17
  6. Step 6: Final answer
    x = 268.62

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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.