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Finding the Fourth Proportional to 358.71, 495 and 203.46

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Solution

The fourth proportional to 358.71, 495 and 203.46 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.71 : 495 = 203.46 : x
  2. Step 2: Convert to fraction form
    358.71/495 = 203.46/x
  3. Step 3: Cross multiply
    358.71x = 495 × 203.46
  4. Step 4: Simplify right side
    358.71x = 100,712.70
  5. Step 5: Solve for x
    x = 100,712.70/358.71
  6. Step 6: Final answer
    x = 280.76

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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.