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Finding the Fourth Proportional to 189.22, 280.48 and 186.31

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Solution

The fourth proportional to 189.22, 280.48 and 186.31 is: 276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 280.48 = 186.31 : x
  2. Step 2: Convert to fraction form
    189.22/280.48 = 186.31/x
  3. Step 3: Cross multiply
    189.22x = 280.48 × 186.31
  4. Step 4: Simplify right side
    189.22x = 52,256.23
  5. Step 5: Solve for x
    x = 52,256.23/189.22
  6. Step 6: Final answer
    x = 276.17

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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.