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Finding the Fourth Proportional to 165.03, 246.09 and 153.49

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Solution

The fourth proportional to 165.03, 246.09 and 153.49 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 246.09 = 153.49 : x
  2. Step 2: Convert to fraction form
    165.03/246.09 = 153.49/x
  3. Step 3: Cross multiply
    165.03x = 246.09 × 153.49
  4. Step 4: Simplify right side
    165.03x = 37,770.93
  5. Step 5: Solve for x
    x = 37,770.93/165.03
  6. Step 6: Final answer
    x = 228.88

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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.