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Finding the Fourth Proportional to 274.14, 377.87 and 175.72

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Solution

The fourth proportional to 274.14, 377.87 and 175.72 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 377.87 = 175.72 : x
  2. Step 2: Convert to fraction form
    274.14/377.87 = 175.72/x
  3. Step 3: Cross multiply
    274.14x = 377.87 × 175.72
  4. Step 4: Simplify right side
    274.14x = 66,399.76
  5. Step 5: Solve for x
    x = 66,399.76/274.14
  6. Step 6: Final answer
    x = 242.22

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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.