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Finding the Fourth Proportional to 1,335.14, 2,002.42 and 361

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Solution

The fourth proportional to 1,335.14, 2,002.42 and 361 is: 541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.14 : 2,002.42 = 361 : x
  2. Step 2: Convert to fraction form
    1,335.14/2,002.42 = 361/x
  3. Step 3: Cross multiply
    1,335.14x = 2,002.42 × 361
  4. Step 4: Simplify right side
    1,335.14x = 722,873.62
  5. Step 5: Solve for x
    x = 722,873.62/1,335.14
  6. Step 6: Final answer
    x = 541.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.