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Finding the Fourth Proportional to 290.10, 434.72 and 199.38

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Solution

The fourth proportional to 290.10, 434.72 and 199.38 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.10 : 434.72 = 199.38 : x
  2. Step 2: Convert to fraction form
    290.10/434.72 = 199.38/x
  3. Step 3: Cross multiply
    290.10x = 434.72 × 199.38
  4. Step 4: Simplify right side
    290.10x = 86,674.47
  5. Step 5: Solve for x
    x = 86,674.47/290.10
  6. Step 6: Final answer
    x = 298.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.