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Finding the Fourth Proportional to 193.84, 289.16 and 166.48

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Solution

The fourth proportional to 193.84, 289.16 and 166.48 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 289.16 = 166.48 : x
  2. Step 2: Convert to fraction form
    193.84/289.16 = 166.48/x
  3. Step 3: Cross multiply
    193.84x = 289.16 × 166.48
  4. Step 4: Simplify right side
    193.84x = 48,139.36
  5. Step 5: Solve for x
    x = 48,139.36/193.84
  6. Step 6: Final answer
    x = 248.35

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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.