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Finding the Fourth Proportional to 165.30, 246.45 and 161.03

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Solution

The fourth proportional to 165.30, 246.45 and 161.03 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 246.45 = 161.03 : x
  2. Step 2: Convert to fraction form
    165.30/246.45 = 161.03/x
  3. Step 3: Cross multiply
    165.30x = 246.45 × 161.03
  4. Step 4: Simplify right side
    165.30x = 39,685.84
  5. Step 5: Solve for x
    x = 39,685.84/165.30
  6. Step 6: Final answer
    x = 240.08

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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.