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Finding the Fourth Proportional to 184.48, 254.57 and 100.45

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Solution

The fourth proportional to 184.48, 254.57 and 100.45 is: 138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.48 : 254.57 = 100.45 : x
  2. Step 2: Convert to fraction form
    184.48/254.57 = 100.45/x
  3. Step 3: Cross multiply
    184.48x = 254.57 × 100.45
  4. Step 4: Simplify right side
    184.48x = 25,571.56
  5. Step 5: Solve for x
    x = 25,571.56/184.48
  6. Step 6: Final answer
    x = 138.62

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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.