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Finding the Fourth Proportional to 536.12, 803.86 and 194.20

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Solution

The fourth proportional to 536.12, 803.86 and 194.20 is: 291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 803.86 = 194.20 : x
  2. Step 2: Convert to fraction form
    536.12/803.86 = 194.20/x
  3. Step 3: Cross multiply
    536.12x = 803.86 × 194.20
  4. Step 4: Simplify right side
    536.12x = 156,109.61
  5. Step 5: Solve for x
    x = 156,109.61/536.12
  6. Step 6: Final answer
    x = 291.18

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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.