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Finding the Fourth Proportional to 165.80, 249.64 and 146.66

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Solution

The fourth proportional to 165.80, 249.64 and 146.66 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 249.64 = 146.66 : x
  2. Step 2: Convert to fraction form
    165.80/249.64 = 146.66/x
  3. Step 3: Cross multiply
    165.80x = 249.64 × 146.66
  4. Step 4: Simplify right side
    165.80x = 36,612.20
  5. Step 5: Solve for x
    x = 36,612.20/165.80
  6. Step 6: Final answer
    x = 220.82

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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.