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Finding the Fourth Proportional to 380.12, 523.53 and 297.50

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Solution

The fourth proportional to 380.12, 523.53 and 297.50 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 523.53 = 297.50 : x
  2. Step 2: Convert to fraction form
    380.12/523.53 = 297.50/x
  3. Step 3: Cross multiply
    380.12x = 523.53 × 297.50
  4. Step 4: Simplify right side
    380.12x = 155,747.56
  5. Step 5: Solve for x
    x = 155,747.56/380.12
  6. Step 6: Final answer
    x = 409.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.