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Finding the Fourth Proportional to 355.82, 490.55 and 293.42

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Solution

The fourth proportional to 355.82, 490.55 and 293.42 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.82 : 490.55 = 293.42 : x
  2. Step 2: Convert to fraction form
    355.82/490.55 = 293.42/x
  3. Step 3: Cross multiply
    355.82x = 490.55 × 293.42
  4. Step 4: Simplify right side
    355.82x = 143,937.18
  5. Step 5: Solve for x
    x = 143,937.18/355.82
  6. Step 6: Final answer
    x = 404.52

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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.