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Finding the Fourth Proportional to 538.85, 808.27 and 173.66

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Solution

The fourth proportional to 538.85, 808.27 and 173.66 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.85 : 808.27 = 173.66 : x
  2. Step 2: Convert to fraction form
    538.85/808.27 = 173.66/x
  3. Step 3: Cross multiply
    538.85x = 808.27 × 173.66
  4. Step 4: Simplify right side
    538.85x = 140,359.69
  5. Step 5: Solve for x
    x = 140,359.69/538.85
  6. Step 6: Final answer
    x = 260.48

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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.