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Finding the Fourth Proportional to 380.34, 567.14 and 329.31

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Solution

The fourth proportional to 380.34, 567.14 and 329.31 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 567.14 = 329.31 : x
  2. Step 2: Convert to fraction form
    380.34/567.14 = 329.31/x
  3. Step 3: Cross multiply
    380.34x = 567.14 × 329.31
  4. Step 4: Simplify right side
    380.34x = 186,764.87
  5. Step 5: Solve for x
    x = 186,764.87/380.34
  6. Step 6: Final answer
    x = 491.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.