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Finding the Fourth Proportional to 293.78, 437.42 and 292.42

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Solution

The fourth proportional to 293.78, 437.42 and 292.42 is: 435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 437.42 = 292.42 : x
  2. Step 2: Convert to fraction form
    293.78/437.42 = 292.42/x
  3. Step 3: Cross multiply
    293.78x = 437.42 × 292.42
  4. Step 4: Simplify right side
    293.78x = 127,910.36
  5. Step 5: Solve for x
    x = 127,910.36/293.78
  6. Step 6: Final answer
    x = 435.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.