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Finding the Fourth Proportional to 380.54, 567.54 and 343.64

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Solution

The fourth proportional to 380.54, 567.54 and 343.64 is: 512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.54 : 567.54 = 343.64 : x
  2. Step 2: Convert to fraction form
    380.54/567.54 = 343.64/x
  3. Step 3: Cross multiply
    380.54x = 567.54 × 343.64
  4. Step 4: Simplify right side
    380.54x = 195,026.55
  5. Step 5: Solve for x
    x = 195,026.55/380.54
  6. Step 6: Final answer
    x = 512.50

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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.