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Finding the Fourth Proportional to 382.50, 574.08 and 209.32

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Solution

The fourth proportional to 382.50, 574.08 and 209.32 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 574.08 = 209.32 : x
  2. Step 2: Convert to fraction form
    382.50/574.08 = 209.32/x
  3. Step 3: Cross multiply
    382.50x = 574.08 × 209.32
  4. Step 4: Simplify right side
    382.50x = 120,165.38
  5. Step 5: Solve for x
    x = 120,165.38/382.50
  6. Step 6: Final answer
    x = 314.16

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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.