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Finding the Fourth Proportional to 358.92, 535.86 and 324.90

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Solution

The fourth proportional to 358.92, 535.86 and 324.90 is: 485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.92 : 535.86 = 324.90 : x
  2. Step 2: Convert to fraction form
    358.92/535.86 = 324.90/x
  3. Step 3: Cross multiply
    358.92x = 535.86 × 324.90
  4. Step 4: Simplify right side
    358.92x = 174,100.91
  5. Step 5: Solve for x
    x = 174,100.91/358.92
  6. Step 6: Final answer
    x = 485.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.