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Finding the Fourth Proportional to 165.90, 247.45 and 154.56

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Solution

The fourth proportional to 165.90, 247.45 and 154.56 is: 230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 247.45 = 154.56 : x
  2. Step 2: Convert to fraction form
    165.90/247.45 = 154.56/x
  3. Step 3: Cross multiply
    165.90x = 247.45 × 154.56
  4. Step 4: Simplify right side
    165.90x = 38,245.49
  5. Step 5: Solve for x
    x = 38,245.49/165.90
  6. Step 6: Final answer
    x = 230.53

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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.