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Finding the Fourth Proportional to 293.27, 403.89 and 292.36

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Solution

The fourth proportional to 293.27, 403.89 and 292.36 is: 402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 403.89 = 292.36 : x
  2. Step 2: Convert to fraction form
    293.27/403.89 = 292.36/x
  3. Step 3: Cross multiply
    293.27x = 403.89 × 292.36
  4. Step 4: Simplify right side
    293.27x = 118,079.93
  5. Step 5: Solve for x
    x = 118,079.93/293.27
  6. Step 6: Final answer
    x = 402.63

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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.