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Finding the Fourth Proportional to 346.75, 478.52 and 199.38

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Solution

The fourth proportional to 346.75, 478.52 and 199.38 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.75 : 478.52 = 199.38 : x
  2. Step 2: Convert to fraction form
    346.75/478.52 = 199.38/x
  3. Step 3: Cross multiply
    346.75x = 478.52 × 199.38
  4. Step 4: Simplify right side
    346.75x = 95,409.01
  5. Step 5: Solve for x
    x = 95,409.01/346.75
  6. Step 6: Final answer
    x = 275.15

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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.