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Finding the Fourth Proportional to 380.54, 567.62 and 349.08

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Solution

The fourth proportional to 380.54, 567.62 and 349.08 is: 520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.54 : 567.62 = 349.08 : x
  2. Step 2: Convert to fraction form
    380.54/567.62 = 349.08/x
  3. Step 3: Cross multiply
    380.54x = 567.62 × 349.08
  4. Step 4: Simplify right side
    380.54x = 198,143.04
  5. Step 5: Solve for x
    x = 198,143.04/380.54
  6. Step 6: Final answer
    x = 520.70

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