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Finding the Fourth Proportional to 189.38, 280.52 and 187.22

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Solution

The fourth proportional to 189.38, 280.52 and 187.22 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.38 : 280.52 = 187.22 : x
  2. Step 2: Convert to fraction form
    189.38/280.52 = 187.22/x
  3. Step 3: Cross multiply
    189.38x = 280.52 × 187.22
  4. Step 4: Simplify right side
    189.38x = 52,518.95
  5. Step 5: Solve for x
    x = 52,518.95/189.38
  6. Step 6: Final answer
    x = 277.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.