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Finding the Fourth Proportional to 204.83, 282.71 and 184.07

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Solution

The fourth proportional to 204.83, 282.71 and 184.07 is: 254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.83 : 282.71 = 184.07 : x
  2. Step 2: Convert to fraction form
    204.83/282.71 = 184.07/x
  3. Step 3: Cross multiply
    204.83x = 282.71 × 184.07
  4. Step 4: Simplify right side
    204.83x = 52,036.10
  5. Step 5: Solve for x
    x = 52,036.10/204.83
  6. Step 6: Final answer
    x = 254.05

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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.