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Finding the Fourth Proportional to 293.25, 402.45 and 265.56

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Solution

The fourth proportional to 293.25, 402.45 and 265.56 is: 364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 402.45 = 265.56 : x
  2. Step 2: Convert to fraction form
    293.25/402.45 = 265.56/x
  3. Step 3: Cross multiply
    293.25x = 402.45 × 265.56
  4. Step 4: Simplify right side
    293.25x = 106,874.62
  5. Step 5: Solve for x
    x = 106,874.62/293.25
  6. Step 6: Final answer
    x = 364.45

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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.