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Finding the Fourth Proportional to 378.29, 564.11 and 348.37

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Solution

The fourth proportional to 378.29, 564.11 and 348.37 is: 519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.29 : 564.11 = 348.37 : x
  2. Step 2: Convert to fraction form
    378.29/564.11 = 348.37/x
  3. Step 3: Cross multiply
    378.29x = 564.11 × 348.37
  4. Step 4: Simplify right side
    378.29x = 196,519.00
  5. Step 5: Solve for x
    x = 196,519.00/378.29
  6. Step 6: Final answer
    x = 519.49

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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.