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Finding the Fourth Proportional to 358.82, 535.34 and 324.22

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Solution

The fourth proportional to 358.82, 535.34 and 324.22 is: 483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 535.34 = 324.22 : x
  2. Step 2: Convert to fraction form
    358.82/535.34 = 324.22/x
  3. Step 3: Cross multiply
    358.82x = 535.34 × 324.22
  4. Step 4: Simplify right side
    358.82x = 173,567.93
  5. Step 5: Solve for x
    x = 173,567.93/358.82
  6. Step 6: Final answer
    x = 483.72

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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.