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Finding the Fourth Proportional to 334.07, 500.64 and 324.21

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Solution

The fourth proportional to 334.07, 500.64 and 324.21 is: 485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.07 : 500.64 = 324.21 : x
  2. Step 2: Convert to fraction form
    334.07/500.64 = 324.21/x
  3. Step 3: Cross multiply
    334.07x = 500.64 × 324.21
  4. Step 4: Simplify right side
    334.07x = 162,312.49
  5. Step 5: Solve for x
    x = 162,312.49/334.07
  6. Step 6: Final answer
    x = 485.87

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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.