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Finding the Fourth Proportional to 205.71, 283.62 and 176.19

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Solution

The fourth proportional to 205.71, 283.62 and 176.19 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 283.62 = 176.19 : x
  2. Step 2: Convert to fraction form
    205.71/283.62 = 176.19/x
  3. Step 3: Cross multiply
    205.71x = 283.62 × 176.19
  4. Step 4: Simplify right side
    205.71x = 49,971.01
  5. Step 5: Solve for x
    x = 49,971.01/205.71
  6. Step 6: Final answer
    x = 242.92

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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.