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Finding the Fourth Proportional to 293.22, 399.60 and 292.14

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Solution

The fourth proportional to 293.22, 399.60 and 292.14 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 399.60 = 292.14 : x
  2. Step 2: Convert to fraction form
    293.22/399.60 = 292.14/x
  3. Step 3: Cross multiply
    293.22x = 399.60 × 292.14
  4. Step 4: Simplify right side
    293.22x = 116,739.14
  5. Step 5: Solve for x
    x = 116,739.14/293.22
  6. Step 6: Final answer
    x = 398.13

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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.