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Finding the Fourth Proportional to 378.07, 564.16 and 343.55

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Solution

The fourth proportional to 378.07, 564.16 and 343.55 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 564.16 = 343.55 : x
  2. Step 2: Convert to fraction form
    378.07/564.16 = 343.55/x
  3. Step 3: Cross multiply
    378.07x = 564.16 × 343.55
  4. Step 4: Simplify right side
    378.07x = 193,817.72
  5. Step 5: Solve for x
    x = 193,817.72/378.07
  6. Step 6: Final answer
    x = 512.65

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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.