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Finding the Fourth Proportional to 200.31, 298.99 and 186.04

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Solution

The fourth proportional to 200.31, 298.99 and 186.04 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 298.99 = 186.04 : x
  2. Step 2: Convert to fraction form
    200.31/298.99 = 186.04/x
  3. Step 3: Cross multiply
    200.31x = 298.99 × 186.04
  4. Step 4: Simplify right side
    200.31x = 55,624.10
  5. Step 5: Solve for x
    x = 55,624.10/200.31
  6. Step 6: Final answer
    x = 277.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.