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Finding the Fourth Proportional to 537.07, 805.72 and 171.88

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Solution

The fourth proportional to 537.07, 805.72 and 171.88 is: 257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.07 : 805.72 = 171.88 : x
  2. Step 2: Convert to fraction form
    537.07/805.72 = 171.88/x
  3. Step 3: Cross multiply
    537.07x = 805.72 × 171.88
  4. Step 4: Simplify right side
    537.07x = 138,487.15
  5. Step 5: Solve for x
    x = 138,487.15/537.07
  6. Step 6: Final answer
    x = 257.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.