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Finding the Fourth Proportional to 165.40, 249.30 and 154.24

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Solution

The fourth proportional to 165.40, 249.30 and 154.24 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 249.30 = 154.24 : x
  2. Step 2: Convert to fraction form
    165.40/249.30 = 154.24/x
  3. Step 3: Cross multiply
    165.40x = 249.30 × 154.24
  4. Step 4: Simplify right side
    165.40x = 38,451.41
  5. Step 5: Solve for x
    x = 38,451.41/165.40
  6. Step 6: Final answer
    x = 232.48

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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.