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Finding the Fourth Proportional to 381.34, 574.60 and 314.36

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Solution

The fourth proportional to 381.34, 574.60 and 314.36 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 574.60 = 314.36 : x
  2. Step 2: Convert to fraction form
    381.34/574.60 = 314.36/x
  3. Step 3: Cross multiply
    381.34x = 574.60 × 314.36
  4. Step 4: Simplify right side
    381.34x = 180,631.26
  5. Step 5: Solve for x
    x = 180,631.26/381.34
  6. Step 6: Final answer
    x = 473.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.