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Finding the Fourth Proportional to 204.92, 282.43 and 175.76

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Solution

The fourth proportional to 204.92, 282.43 and 175.76 is: 242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 282.43 = 175.76 : x
  2. Step 2: Convert to fraction form
    204.92/282.43 = 175.76/x
  3. Step 3: Cross multiply
    204.92x = 282.43 × 175.76
  4. Step 4: Simplify right side
    204.92x = 49,639.24
  5. Step 5: Solve for x
    x = 49,639.24/204.92
  6. Step 6: Final answer
    x = 242.24

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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.