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Finding the Fourth Proportional to 378.10, 522.39 and 348.94

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Solution

The fourth proportional to 378.10, 522.39 and 348.94 is: 482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 522.39 = 348.94 : x
  2. Step 2: Convert to fraction form
    378.10/522.39 = 348.94/x
  3. Step 3: Cross multiply
    378.10x = 522.39 × 348.94
  4. Step 4: Simplify right side
    378.10x = 182,282.77
  5. Step 5: Solve for x
    x = 182,282.77/378.10
  6. Step 6: Final answer
    x = 482.10

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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.