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Finding the Fourth Proportional to 358.13, 539.96 and 286.85

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Solution

The fourth proportional to 358.13, 539.96 and 286.85 is: 432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 539.96 = 286.85 : x
  2. Step 2: Convert to fraction form
    358.13/539.96 = 286.85/x
  3. Step 3: Cross multiply
    358.13x = 539.96 × 286.85
  4. Step 4: Simplify right side
    358.13x = 154,883.39
  5. Step 5: Solve for x
    x = 154,883.39/358.13
  6. Step 6: Final answer
    x = 432.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.