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Finding the Fourth Proportional to 293.78, 442.43 and 265.22

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Solution

The fourth proportional to 293.78, 442.43 and 265.22 is: 399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 442.43 = 265.22 : x
  2. Step 2: Convert to fraction form
    293.78/442.43 = 265.22/x
  3. Step 3: Cross multiply
    293.78x = 442.43 × 265.22
  4. Step 4: Simplify right side
    293.78x = 117,341.28
  5. Step 5: Solve for x
    x = 117,341.28/293.78
  6. Step 6: Final answer
    x = 399.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.