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Finding the Fourth Proportional to 244.96, 338.11 and 145.40

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Solution

The fourth proportional to 244.96, 338.11 and 145.40 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.96 : 338.11 = 145.40 : x
  2. Step 2: Convert to fraction form
    244.96/338.11 = 145.40/x
  3. Step 3: Cross multiply
    244.96x = 338.11 × 145.40
  4. Step 4: Simplify right side
    244.96x = 49,159.75
  5. Step 5: Solve for x
    x = 49,159.75/244.96
  6. Step 6: Final answer
    x = 200.68

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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.