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Finding the Fourth Proportional to 293.16, 403.81 and 251.85

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Solution

The fourth proportional to 293.16, 403.81 and 251.85 is: 346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 403.81 = 251.85 : x
  2. Step 2: Convert to fraction form
    293.16/403.81 = 251.85/x
  3. Step 3: Cross multiply
    293.16x = 403.81 × 251.85
  4. Step 4: Simplify right side
    293.16x = 101,699.55
  5. Step 5: Solve for x
    x = 101,699.55/293.16
  6. Step 6: Final answer
    x = 346.91

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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.