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Finding the Fourth Proportional to 293.19, 402.95 and 274.83

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Solution

The fourth proportional to 293.19, 402.95 and 274.83 is: 377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.19 : 402.95 = 274.83 : x
  2. Step 2: Convert to fraction form
    293.19/402.95 = 274.83/x
  3. Step 3: Cross multiply
    293.19x = 402.95 × 274.83
  4. Step 4: Simplify right side
    293.19x = 110,741.37
  5. Step 5: Solve for x
    x = 110,741.37/293.19
  6. Step 6: Final answer
    x = 377.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.