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Finding the Fourth Proportional to 358.98, 495.40 and 209.70

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Solution

The fourth proportional to 358.98, 495.40 and 209.70 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.98 : 495.40 = 209.70 : x
  2. Step 2: Convert to fraction form
    358.98/495.40 = 209.70/x
  3. Step 3: Cross multiply
    358.98x = 495.40 × 209.70
  4. Step 4: Simplify right side
    358.98x = 103,884.67
  5. Step 5: Solve for x
    x = 103,884.67/358.98
  6. Step 6: Final answer
    x = 289.39

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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.