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Finding the Fourth Proportional to 165.88, 249.26 and 155.50

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Solution

The fourth proportional to 165.88, 249.26 and 155.50 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 249.26 = 155.50 : x
  2. Step 2: Convert to fraction form
    165.88/249.26 = 155.50/x
  3. Step 3: Cross multiply
    165.88x = 249.26 × 155.50
  4. Step 4: Simplify right side
    165.88x = 38,759.93
  5. Step 5: Solve for x
    x = 38,759.93/165.88
  6. Step 6: Final answer
    x = 233.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.