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Finding the Fourth Proportional to 346.97, 522.21 and 260.78

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Solution

The fourth proportional to 346.97, 522.21 and 260.78 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 522.21 = 260.78 : x
  2. Step 2: Convert to fraction form
    346.97/522.21 = 260.78/x
  3. Step 3: Cross multiply
    346.97x = 522.21 × 260.78
  4. Step 4: Simplify right side
    346.97x = 136,179.31
  5. Step 5: Solve for x
    x = 136,179.31/346.97
  6. Step 6: Final answer
    x = 392.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.