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Finding the Fourth Proportional to 378.18, 522.41 and 316.22

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Solution

The fourth proportional to 378.18, 522.41 and 316.22 is: 436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.18 : 522.41 = 316.22 : x
  2. Step 2: Convert to fraction form
    378.18/522.41 = 316.22/x
  3. Step 3: Cross multiply
    378.18x = 522.41 × 316.22
  4. Step 4: Simplify right side
    378.18x = 165,192.30
  5. Step 5: Solve for x
    x = 165,192.30/378.18
  6. Step 6: Final answer
    x = 436.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.