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Finding the Fourth Proportional to 241.95, 333.80 and 137.02

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Solution

The fourth proportional to 241.95, 333.80 and 137.02 is: 189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.95 : 333.80 = 137.02 : x
  2. Step 2: Convert to fraction form
    241.95/333.80 = 137.02/x
  3. Step 3: Cross multiply
    241.95x = 333.80 × 137.02
  4. Step 4: Simplify right side
    241.95x = 45,737.28
  5. Step 5: Solve for x
    x = 45,737.28/241.95
  6. Step 6: Final answer
    x = 189.04

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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.