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Finding the Fourth Proportional to 358.74, 495.12 and 209.43

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Solution

The fourth proportional to 358.74, 495.12 and 209.43 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.74 : 495.12 = 209.43 : x
  2. Step 2: Convert to fraction form
    358.74/495.12 = 209.43/x
  3. Step 3: Cross multiply
    358.74x = 495.12 × 209.43
  4. Step 4: Simplify right side
    358.74x = 103,692.98
  5. Step 5: Solve for x
    x = 103,692.98/358.74
  6. Step 6: Final answer
    x = 289.05

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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.