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Finding the Fourth Proportional to 378.97, 522.71 and 347.99

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Solution

The fourth proportional to 378.97, 522.71 and 347.99 is: 479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.97 : 522.71 = 347.99 : x
  2. Step 2: Convert to fraction form
    378.97/522.71 = 347.99/x
  3. Step 3: Cross multiply
    378.97x = 522.71 × 347.99
  4. Step 4: Simplify right side
    378.97x = 181,894.80
  5. Step 5: Solve for x
    x = 181,894.80/378.97
  6. Step 6: Final answer
    x = 479.97

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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.