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Finding the Fourth Proportional to 184.08, 277.20 and 136.32

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Solution

The fourth proportional to 184.08, 277.20 and 136.32 is: 205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.08 : 277.20 = 136.32 : x
  2. Step 2: Convert to fraction form
    184.08/277.20 = 136.32/x
  3. Step 3: Cross multiply
    184.08x = 277.20 × 136.32
  4. Step 4: Simplify right side
    184.08x = 37,787.90
  5. Step 5: Solve for x
    x = 37,787.90/184.08
  6. Step 6: Final answer
    x = 205.28

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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.