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Finding the Fourth Proportional to 358.99, 495.16 and 289.21

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Solution

The fourth proportional to 358.99, 495.16 and 289.21 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.99 : 495.16 = 289.21 : x
  2. Step 2: Convert to fraction form
    358.99/495.16 = 289.21/x
  3. Step 3: Cross multiply
    358.99x = 495.16 × 289.21
  4. Step 4: Simplify right side
    358.99x = 143,205.22
  5. Step 5: Solve for x
    x = 143,205.22/358.99
  6. Step 6: Final answer
    x = 398.91

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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.