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Finding the Fourth Proportional to 241.50, 333.35 and 165.80

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Solution

The fourth proportional to 241.50, 333.35 and 165.80 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 333.35 = 165.80 : x
  2. Step 2: Convert to fraction form
    241.50/333.35 = 165.80/x
  3. Step 3: Cross multiply
    241.50x = 333.35 × 165.80
  4. Step 4: Simplify right side
    241.50x = 55,269.43
  5. Step 5: Solve for x
    x = 55,269.43/241.50
  6. Step 6: Final answer
    x = 228.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.