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Finding the Fourth Proportional to 235.28, 354.22 and 184.59

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Solution

The fourth proportional to 235.28, 354.22 and 184.59 is: 277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.28 : 354.22 = 184.59 : x
  2. Step 2: Convert to fraction form
    235.28/354.22 = 184.59/x
  3. Step 3: Cross multiply
    235.28x = 354.22 × 184.59
  4. Step 4: Simplify right side
    235.28x = 65,385.47
  5. Step 5: Solve for x
    x = 65,385.47/235.28
  6. Step 6: Final answer
    x = 277.90

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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.