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Finding the Fourth Proportional to 282.70, 389.54 and 199.90

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Solution

The fourth proportional to 282.70, 389.54 and 199.90 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 389.54 = 199.90 : x
  2. Step 2: Convert to fraction form
    282.70/389.54 = 199.90/x
  3. Step 3: Cross multiply
    282.70x = 389.54 × 199.90
  4. Step 4: Simplify right side
    282.70x = 77,869.05
  5. Step 5: Solve for x
    x = 77,869.05/282.70
  6. Step 6: Final answer
    x = 275.45

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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.