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Finding the Fourth Proportional to 380.14, 523.28 and 297.10

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Solution

The fourth proportional to 380.14, 523.28 and 297.10 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.14 : 523.28 = 297.10 : x
  2. Step 2: Convert to fraction form
    380.14/523.28 = 297.10/x
  3. Step 3: Cross multiply
    380.14x = 523.28 × 297.10
  4. Step 4: Simplify right side
    380.14x = 155,466.49
  5. Step 5: Solve for x
    x = 155,466.49/380.14
  6. Step 6: Final answer
    x = 408.97

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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.