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Finding the Fourth Proportional to 193.62, 288.33 and 193.08

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Solution

The fourth proportional to 193.62, 288.33 and 193.08 is: 287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.62 : 288.33 = 193.08 : x
  2. Step 2: Convert to fraction form
    193.62/288.33 = 193.08/x
  3. Step 3: Cross multiply
    193.62x = 288.33 × 193.08
  4. Step 4: Simplify right side
    193.62x = 55,670.76
  5. Step 5: Solve for x
    x = 55,670.76/193.62
  6. Step 6: Final answer
    x = 287.53

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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.