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Finding the Fourth Proportional to 274.18, 378.06 and 175.82

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Solution

The fourth proportional to 274.18, 378.06 and 175.82 is: 242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.18 : 378.06 = 175.82 : x
  2. Step 2: Convert to fraction form
    274.18/378.06 = 175.82/x
  3. Step 3: Cross multiply
    274.18x = 378.06 × 175.82
  4. Step 4: Simplify right side
    274.18x = 66,470.51
  5. Step 5: Solve for x
    x = 66,470.51/274.18
  6. Step 6: Final answer
    x = 242.43

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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.