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Finding the Fourth Proportional to 379.48, 564.63 and 378.22

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Solution

The fourth proportional to 379.48, 564.63 and 378.22 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.48 : 564.63 = 378.22 : x
  2. Step 2: Convert to fraction form
    379.48/564.63 = 378.22/x
  3. Step 3: Cross multiply
    379.48x = 564.63 × 378.22
  4. Step 4: Simplify right side
    379.48x = 213,554.36
  5. Step 5: Solve for x
    x = 213,554.36/379.48
  6. Step 6: Final answer
    x = 562.76

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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.