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Finding the Fourth Proportional to 346.62, 478.33 and 199.25

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Solution

The fourth proportional to 346.62, 478.33 and 199.25 is: 274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.62 : 478.33 = 199.25 : x
  2. Step 2: Convert to fraction form
    346.62/478.33 = 199.25/x
  3. Step 3: Cross multiply
    346.62x = 478.33 × 199.25
  4. Step 4: Simplify right side
    346.62x = 95,305.56
  5. Step 5: Solve for x
    x = 95,305.56/346.62
  6. Step 6: Final answer
    x = 274.96

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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.