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Finding the Fourth Proportional to 293.63, 404.85 and 238.22

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Solution

The fourth proportional to 293.63, 404.85 and 238.22 is: 328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 404.85 = 238.22 : x
  2. Step 2: Convert to fraction form
    293.63/404.85 = 238.22/x
  3. Step 3: Cross multiply
    293.63x = 404.85 × 238.22
  4. Step 4: Simplify right side
    293.63x = 96,443.37
  5. Step 5: Solve for x
    x = 96,443.37/293.63
  6. Step 6: Final answer
    x = 328.45

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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.