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Finding the Fourth Proportional to 293.44, 442.24 and 290.92

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Solution

The fourth proportional to 293.44, 442.24 and 290.92 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 442.24 = 290.92 : x
  2. Step 2: Convert to fraction form
    293.44/442.24 = 290.92/x
  3. Step 3: Cross multiply
    293.44x = 442.24 × 290.92
  4. Step 4: Simplify right side
    293.44x = 128,656.46
  5. Step 5: Solve for x
    x = 128,656.46/293.44
  6. Step 6: Final answer
    x = 438.44

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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.