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Finding the Fourth Proportional to 358.40, 538.61 and 333.78

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Solution

The fourth proportional to 358.40, 538.61 and 333.78 is: 501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.40 : 538.61 = 333.78 : x
  2. Step 2: Convert to fraction form
    358.40/538.61 = 333.78/x
  3. Step 3: Cross multiply
    358.40x = 538.61 × 333.78
  4. Step 4: Simplify right side
    358.40x = 179,777.25
  5. Step 5: Solve for x
    x = 179,777.25/358.40
  6. Step 6: Final answer
    x = 501.61

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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.