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Finding the Fourth Proportional to 537.88, 742.44 and 341.51

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Solution

The fourth proportional to 537.88, 742.44 and 341.51 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 742.44 = 341.51 : x
  2. Step 2: Convert to fraction form
    537.88/742.44 = 341.51/x
  3. Step 3: Cross multiply
    537.88x = 742.44 × 341.51
  4. Step 4: Simplify right side
    537.88x = 253,550.68
  5. Step 5: Solve for x
    x = 253,550.68/537.88
  6. Step 6: Final answer
    x = 471.39

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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.