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Finding the Fourth Proportional to 204.71, 282.48 and 144.98

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Solution

The fourth proportional to 204.71, 282.48 and 144.98 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.71 : 282.48 = 144.98 : x
  2. Step 2: Convert to fraction form
    204.71/282.48 = 144.98/x
  3. Step 3: Cross multiply
    204.71x = 282.48 × 144.98
  4. Step 4: Simplify right side
    204.71x = 40,953.95
  5. Step 5: Solve for x
    x = 40,953.95/204.71
  6. Step 6: Final answer
    x = 200.06

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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.