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Finding the Fourth Proportional to 165.90, 250.09 and 154.75

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Solution

The fourth proportional to 165.90, 250.09 and 154.75 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 250.09 = 154.75 : x
  2. Step 2: Convert to fraction form
    165.90/250.09 = 154.75/x
  3. Step 3: Cross multiply
    165.90x = 250.09 × 154.75
  4. Step 4: Simplify right side
    165.90x = 38,701.73
  5. Step 5: Solve for x
    x = 38,701.73/165.90
  6. Step 6: Final answer
    x = 233.28

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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.