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Finding the Fourth Proportional to 165.78, 247.21 and 154.24

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Solution

The fourth proportional to 165.78, 247.21 and 154.24 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 247.21 = 154.24 : x
  2. Step 2: Convert to fraction form
    165.78/247.21 = 154.24/x
  3. Step 3: Cross multiply
    165.78x = 247.21 × 154.24
  4. Step 4: Simplify right side
    165.78x = 38,128.43
  5. Step 5: Solve for x
    x = 38,128.43/165.78
  6. Step 6: Final answer
    x = 229.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.