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Finding the Fourth Proportional to 537.91, 742.16 and 348.91

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Solution

The fourth proportional to 537.91, 742.16 and 348.91 is: 481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.91 : 742.16 = 348.91 : x
  2. Step 2: Convert to fraction form
    537.91/742.16 = 348.91/x
  3. Step 3: Cross multiply
    537.91x = 742.16 × 348.91
  4. Step 4: Simplify right side
    537.91x = 258,943.63
  5. Step 5: Solve for x
    x = 258,943.63/537.91
  6. Step 6: Final answer
    x = 481.39

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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.