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Finding the Fourth Proportional to 193.42, 288.92 and 166.08

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Solution

The fourth proportional to 193.42, 288.92 and 166.08 is: 248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.42 : 288.92 = 166.08 : x
  2. Step 2: Convert to fraction form
    193.42/288.92 = 166.08/x
  3. Step 3: Cross multiply
    193.42x = 288.92 × 166.08
  4. Step 4: Simplify right side
    193.42x = 47,983.83
  5. Step 5: Solve for x
    x = 47,983.83/193.42
  6. Step 6: Final answer
    x = 248.08

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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.