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Finding the Fourth Proportional to 379.98, 569.25 and 293.46

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Solution

The fourth proportional to 379.98, 569.25 and 293.46 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 569.25 = 293.46 : x
  2. Step 2: Convert to fraction form
    379.98/569.25 = 293.46/x
  3. Step 3: Cross multiply
    379.98x = 569.25 × 293.46
  4. Step 4: Simplify right side
    379.98x = 167,052.11
  5. Step 5: Solve for x
    x = 167,052.11/379.98
  6. Step 6: Final answer
    x = 439.63

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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.