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Finding the Fourth Proportional to 378.15, 522.17 and 238.51

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Solution

The fourth proportional to 378.15, 522.17 and 238.51 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.15 : 522.17 = 238.51 : x
  2. Step 2: Convert to fraction form
    378.15/522.17 = 238.51/x
  3. Step 3: Cross multiply
    378.15x = 522.17 × 238.51
  4. Step 4: Simplify right side
    378.15x = 124,542.77
  5. Step 5: Solve for x
    x = 124,542.77/378.15
  6. Step 6: Final answer
    x = 329.35

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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.