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Finding the Fourth Proportional to 293.72, 399.89 and 292.80

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Solution

The fourth proportional to 293.72, 399.89 and 292.80 is: 398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 399.89 = 292.80 : x
  2. Step 2: Convert to fraction form
    293.72/399.89 = 292.80/x
  3. Step 3: Cross multiply
    293.72x = 399.89 × 292.80
  4. Step 4: Simplify right side
    293.72x = 117,088.52
  5. Step 5: Solve for x
    x = 117,088.52/293.72
  6. Step 6: Final answer
    x = 398.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.