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Finding the Fourth Proportional to 293.14, 402.63 and 275.07

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Solution

The fourth proportional to 293.14, 402.63 and 275.07 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 402.63 = 275.07 : x
  2. Step 2: Convert to fraction form
    293.14/402.63 = 275.07/x
  3. Step 3: Cross multiply
    293.14x = 402.63 × 275.07
  4. Step 4: Simplify right side
    293.14x = 110,751.43
  5. Step 5: Solve for x
    x = 110,751.43/293.14
  6. Step 6: Final answer
    x = 377.81

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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.