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Finding the Fourth Proportional to 165.69, 246.80 and 158.33

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Solution

The fourth proportional to 165.69, 246.80 and 158.33 is: 235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 246.80 = 158.33 : x
  2. Step 2: Convert to fraction form
    165.69/246.80 = 158.33/x
  3. Step 3: Cross multiply
    165.69x = 246.80 × 158.33
  4. Step 4: Simplify right side
    165.69x = 39,076.86
  5. Step 5: Solve for x
    x = 39,076.86/165.69
  6. Step 6: Final answer
    x = 235.84

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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.