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Finding the Fourth Proportional to 334.09, 500.32 and 204.18

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Solution

The fourth proportional to 334.09, 500.32 and 204.18 is: 305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 500.32 = 204.18 : x
  2. Step 2: Convert to fraction form
    334.09/500.32 = 204.18/x
  3. Step 3: Cross multiply
    334.09x = 500.32 × 204.18
  4. Step 4: Simplify right side
    334.09x = 102,155.34
  5. Step 5: Solve for x
    x = 102,155.34/334.09
  6. Step 6: Final answer
    x = 305.77

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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.