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Finding the Fourth Proportional to 274.94, 379.47 and 176.82

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Solution

The fourth proportional to 274.94, 379.47 and 176.82 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 379.47 = 176.82 : x
  2. Step 2: Convert to fraction form
    274.94/379.47 = 176.82/x
  3. Step 3: Cross multiply
    274.94x = 379.47 × 176.82
  4. Step 4: Simplify right side
    274.94x = 67,097.89
  5. Step 5: Solve for x
    x = 67,097.89/274.94
  6. Step 6: Final answer
    x = 244.05

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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.