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Finding the Fourth Proportional to 358.90, 495.28 and 209.55

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Solution

The fourth proportional to 358.90, 495.28 and 209.55 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.90 : 495.28 = 209.55 : x
  2. Step 2: Convert to fraction form
    358.90/495.28 = 209.55/x
  3. Step 3: Cross multiply
    358.90x = 495.28 × 209.55
  4. Step 4: Simplify right side
    358.90x = 103,785.40
  5. Step 5: Solve for x
    x = 103,785.40/358.90
  6. Step 6: Final answer
    x = 289.18

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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.