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Finding the Fourth Proportional to 205.38, 284.04 and 183.52

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Solution

The fourth proportional to 205.38, 284.04 and 183.52 is: 253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 284.04 = 183.52 : x
  2. Step 2: Convert to fraction form
    205.38/284.04 = 183.52/x
  3. Step 3: Cross multiply
    205.38x = 284.04 × 183.52
  4. Step 4: Simplify right side
    205.38x = 52,127.02
  5. Step 5: Solve for x
    x = 52,127.02/205.38
  6. Step 6: Final answer
    x = 253.81

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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.