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Finding the Fourth Proportional to 346.92, 478.78 and 199.57

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Solution

The fourth proportional to 346.92, 478.78 and 199.57 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 478.78 = 199.57 : x
  2. Step 2: Convert to fraction form
    346.92/478.78 = 199.57/x
  3. Step 3: Cross multiply
    346.92x = 478.78 × 199.57
  4. Step 4: Simplify right side
    346.92x = 95,550.12
  5. Step 5: Solve for x
    x = 95,550.12/346.92
  6. Step 6: Final answer
    x = 275.42

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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.