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Finding the Fourth Proportional to 377.94, 564.42 and 329.34

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Solution

The fourth proportional to 377.94, 564.42 and 329.34 is: 491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 564.42 = 329.34 : x
  2. Step 2: Convert to fraction form
    377.94/564.42 = 329.34/x
  3. Step 3: Cross multiply
    377.94x = 564.42 × 329.34
  4. Step 4: Simplify right side
    377.94x = 185,886.08
  5. Step 5: Solve for x
    x = 185,886.08/377.94
  6. Step 6: Final answer
    x = 491.84

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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.