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Finding the Fourth Proportional to 358.13, 536.98 and 149.65

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Solution

The fourth proportional to 358.13, 536.98 and 149.65 is: 224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 536.98 = 149.65 : x
  2. Step 2: Convert to fraction form
    358.13/536.98 = 149.65/x
  3. Step 3: Cross multiply
    358.13x = 536.98 × 149.65
  4. Step 4: Simplify right side
    358.13x = 80,359.06
  5. Step 5: Solve for x
    x = 80,359.06/358.13
  6. Step 6: Final answer
    x = 224.39

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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.