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Finding the Fourth Proportional to 366.88, 505.38 and 293.44

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Solution

The fourth proportional to 366.88, 505.38 and 293.44 is: 404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.88 : 505.38 = 293.44 : x
  2. Step 2: Convert to fraction form
    366.88/505.38 = 293.44/x
  3. Step 3: Cross multiply
    366.88x = 505.38 × 293.44
  4. Step 4: Simplify right side
    366.88x = 148,298.71
  5. Step 5: Solve for x
    x = 148,298.71/366.88
  6. Step 6: Final answer
    x = 404.22

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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.