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Finding the Fourth Proportional to 358.19, 536.97 and 141.92

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Solution

The fourth proportional to 358.19, 536.97 and 141.92 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.19 : 536.97 = 141.92 : x
  2. Step 2: Convert to fraction form
    358.19/536.97 = 141.92/x
  3. Step 3: Cross multiply
    358.19x = 536.97 × 141.92
  4. Step 4: Simplify right side
    358.19x = 76,206.78
  5. Step 5: Solve for x
    x = 76,206.78/358.19
  6. Step 6: Final answer
    x = 212.76

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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.