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Finding the Fourth Proportional to 274.30, 377.53 and 240.47

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Solution

The fourth proportional to 274.30, 377.53 and 240.47 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 377.53 = 240.47 : x
  2. Step 2: Convert to fraction form
    274.30/377.53 = 240.47/x
  3. Step 3: Cross multiply
    274.30x = 377.53 × 240.47
  4. Step 4: Simplify right side
    274.30x = 90,783.57
  5. Step 5: Solve for x
    x = 90,783.57/274.30
  6. Step 6: Final answer
    x = 330.96

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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.