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Finding the Fourth Proportional to 537.25, 741.27 and 340.78

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Solution

The fourth proportional to 537.25, 741.27 and 340.78 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.25 : 741.27 = 340.78 : x
  2. Step 2: Convert to fraction form
    537.25/741.27 = 340.78/x
  3. Step 3: Cross multiply
    537.25x = 741.27 × 340.78
  4. Step 4: Simplify right side
    537.25x = 252,609.99
  5. Step 5: Solve for x
    x = 252,609.99/537.25
  6. Step 6: Final answer
    x = 470.19

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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.