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Finding the Fourth Proportional to 184.19, 254.19 and 100.17

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Solution

The fourth proportional to 184.19, 254.19 and 100.17 is: 138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.19 : 254.19 = 100.17 : x
  2. Step 2: Convert to fraction form
    184.19/254.19 = 100.17/x
  3. Step 3: Cross multiply
    184.19x = 254.19 × 100.17
  4. Step 4: Simplify right side
    184.19x = 25,460.44
  5. Step 5: Solve for x
    x = 25,460.44/184.19
  6. Step 6: Final answer
    x = 138.23

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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.