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Finding the Fourth Proportional to 379.09, 568.73 and 243.01

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Solution

The fourth proportional to 379.09, 568.73 and 243.01 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.09 : 568.73 = 243.01 : x
  2. Step 2: Convert to fraction form
    379.09/568.73 = 243.01/x
  3. Step 3: Cross multiply
    379.09x = 568.73 × 243.01
  4. Step 4: Simplify right side
    379.09x = 138,207.08
  5. Step 5: Solve for x
    x = 138,207.08/379.09
  6. Step 6: Final answer
    x = 364.58

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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.