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Finding the Fourth Proportional to 184.33, 254.71 and 178.32

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Solution

The fourth proportional to 184.33, 254.71 and 178.32 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.33 : 254.71 = 178.32 : x
  2. Step 2: Convert to fraction form
    184.33/254.71 = 178.32/x
  3. Step 3: Cross multiply
    184.33x = 254.71 × 178.32
  4. Step 4: Simplify right side
    184.33x = 45,419.63
  5. Step 5: Solve for x
    x = 45,419.63/184.33
  6. Step 6: Final answer
    x = 246.41

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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.