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Finding the Fourth Proportional to 358.55, 494.78 and 201.16

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Solution

The fourth proportional to 358.55, 494.78 and 201.16 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.55 : 494.78 = 201.16 : x
  2. Step 2: Convert to fraction form
    358.55/494.78 = 201.16/x
  3. Step 3: Cross multiply
    358.55x = 494.78 × 201.16
  4. Step 4: Simplify right side
    358.55x = 99,527.70
  5. Step 5: Solve for x
    x = 99,527.70/358.55
  6. Step 6: Final answer
    x = 277.59

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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.