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Finding the Fourth Proportional to 346.29, 477.87 and 198.97

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Solution

The fourth proportional to 346.29, 477.87 and 198.97 is: 274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 477.87 = 198.97 : x
  2. Step 2: Convert to fraction form
    346.29/477.87 = 198.97/x
  3. Step 3: Cross multiply
    346.29x = 477.87 × 198.97
  4. Step 4: Simplify right side
    346.29x = 95,081.79
  5. Step 5: Solve for x
    x = 95,081.79/346.29
  6. Step 6: Final answer
    x = 274.57

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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.