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Finding the Fourth Proportional to 358.62, 536.84 and 324.39

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Solution

The fourth proportional to 358.62, 536.84 and 324.39 is: 485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.62 : 536.84 = 324.39 : x
  2. Step 2: Convert to fraction form
    358.62/536.84 = 324.39/x
  3. Step 3: Cross multiply
    358.62x = 536.84 × 324.39
  4. Step 4: Simplify right side
    358.62x = 174,145.53
  5. Step 5: Solve for x
    x = 174,145.53/358.62
  6. Step 6: Final answer
    x = 485.60

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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.