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Finding the Fourth Proportional to 358.90, 538.97 and 194.28

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Solution

The fourth proportional to 358.90, 538.97 and 194.28 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.90 : 538.97 = 194.28 : x
  2. Step 2: Convert to fraction form
    358.90/538.97 = 194.28/x
  3. Step 3: Cross multiply
    358.90x = 538.97 × 194.28
  4. Step 4: Simplify right side
    358.90x = 104,707.43
  5. Step 5: Solve for x
    x = 104,707.43/358.90
  6. Step 6: Final answer
    x = 291.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.