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Finding the Fourth Proportional to 274.70, 378.82 and 235.50

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Solution

The fourth proportional to 274.70, 378.82 and 235.50 is: 324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.70 : 378.82 = 235.50 : x
  2. Step 2: Convert to fraction form
    274.70/378.82 = 235.50/x
  3. Step 3: Cross multiply
    274.70x = 378.82 × 235.50
  4. Step 4: Simplify right side
    274.70x = 89,210.98
  5. Step 5: Solve for x
    x = 89,210.98/274.70
  6. Step 6: Final answer
    x = 324.75

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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.