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Finding the Fourth Proportional to 346.92, 478.77 and 199.59

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Solution

The fourth proportional to 346.92, 478.77 and 199.59 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 478.77 = 199.59 : x
  2. Step 2: Convert to fraction form
    346.92/478.77 = 199.59/x
  3. Step 3: Cross multiply
    346.92x = 478.77 × 199.59
  4. Step 4: Simplify right side
    346.92x = 95,557.70
  5. Step 5: Solve for x
    x = 95,557.70/346.92
  6. Step 6: Final answer
    x = 275.45

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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.