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Finding the Fourth Proportional to 346.52, 479.46 and 297.32

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Solution

The fourth proportional to 346.52, 479.46 and 297.32 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.52 : 479.46 = 297.32 : x
  2. Step 2: Convert to fraction form
    346.52/479.46 = 297.32/x
  3. Step 3: Cross multiply
    346.52x = 479.46 × 297.32
  4. Step 4: Simplify right side
    346.52x = 142,553.05
  5. Step 5: Solve for x
    x = 142,553.05/346.52
  6. Step 6: Final answer
    x = 411.38

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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.