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Finding the Fourth Proportional to 184.97, 278.73 and 153.19

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Solution

The fourth proportional to 184.97, 278.73 and 153.19 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 278.73 = 153.19 : x
  2. Step 2: Convert to fraction form
    184.97/278.73 = 153.19/x
  3. Step 3: Cross multiply
    184.97x = 278.73 × 153.19
  4. Step 4: Simplify right side
    184.97x = 42,696.49
  5. Step 5: Solve for x
    x = 42,696.49/184.97
  6. Step 6: Final answer
    x = 230.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.