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Finding the Fourth Proportional to 536.14, 803.87 and 170.90

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Solution

The fourth proportional to 536.14, 803.87 and 170.90 is: 256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 803.87 = 170.90 : x
  2. Step 2: Convert to fraction form
    536.14/803.87 = 170.90/x
  3. Step 3: Cross multiply
    536.14x = 803.87 × 170.90
  4. Step 4: Simplify right side
    536.14x = 137,381.38
  5. Step 5: Solve for x
    x = 137,381.38/536.14
  6. Step 6: Final answer
    x = 256.24

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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.