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Finding the Fourth Proportional to 189.78, 260.76 and 150.90

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Solution

The fourth proportional to 189.78, 260.76 and 150.90 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 260.76 = 150.90 : x
  2. Step 2: Convert to fraction form
    189.78/260.76 = 150.90/x
  3. Step 3: Cross multiply
    189.78x = 260.76 × 150.90
  4. Step 4: Simplify right side
    189.78x = 39,348.68
  5. Step 5: Solve for x
    x = 39,348.68/189.78
  6. Step 6: Final answer
    x = 207.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.