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Finding the Fourth Proportional to 274.95, 410.83 and 231.75

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Solution

The fourth proportional to 274.95, 410.83 and 231.75 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.95 : 410.83 = 231.75 : x
  2. Step 2: Convert to fraction form
    274.95/410.83 = 231.75/x
  3. Step 3: Cross multiply
    274.95x = 410.83 × 231.75
  4. Step 4: Simplify right side
    274.95x = 95,209.85
  5. Step 5: Solve for x
    x = 95,209.85/274.95
  6. Step 6: Final answer
    x = 346.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.