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Finding the Fourth Proportional to 274.46, 411.75 and 177.11

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Solution

The fourth proportional to 274.46, 411.75 and 177.11 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 411.75 = 177.11 : x
  2. Step 2: Convert to fraction form
    274.46/411.75 = 177.11/x
  3. Step 3: Cross multiply
    274.46x = 411.75 × 177.11
  4. Step 4: Simplify right side
    274.46x = 72,925.04
  5. Step 5: Solve for x
    x = 72,925.04/274.46
  6. Step 6: Final answer
    x = 265.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.