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Finding the Fourth Proportional to 184, 254.08 and 138.24

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Solution

The fourth proportional to 184, 254.08 and 138.24 is: 190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184 : 254.08 = 138.24 : x
  2. Step 2: Convert to fraction form
    184/254.08 = 138.24/x
  3. Step 3: Cross multiply
    184x = 254.08 × 138.24
  4. Step 4: Simplify right side
    184x = 35,124.02
  5. Step 5: Solve for x
    x = 35,124.02/184
  6. Step 6: Final answer
    x = 190.89

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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.