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Finding the Fourth Proportional to 184.78, 254.82 and 153.73

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Solution

The fourth proportional to 184.78, 254.82 and 153.73 is: 212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 254.82 = 153.73 : x
  2. Step 2: Convert to fraction form
    184.78/254.82 = 153.73/x
  3. Step 3: Cross multiply
    184.78x = 254.82 × 153.73
  4. Step 4: Simplify right side
    184.78x = 39,173.48
  5. Step 5: Solve for x
    x = 39,173.48/184.78
  6. Step 6: Final answer
    x = 212.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.