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Finding the Fourth Proportional to 536.75, 805.08 and 171.44

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Solution

The fourth proportional to 536.75, 805.08 and 171.44 is: 257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.75 : 805.08 = 171.44 : x
  2. Step 2: Convert to fraction form
    536.75/805.08 = 171.44/x
  3. Step 3: Cross multiply
    536.75x = 805.08 × 171.44
  4. Step 4: Simplify right side
    536.75x = 138,022.55
  5. Step 5: Solve for x
    x = 138,022.55/536.75
  6. Step 6: Final answer
    x = 257.15

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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.