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Finding the Fourth Proportional to 536.05, 803.94 and 165.76

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Solution

The fourth proportional to 536.05, 803.94 and 165.76 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.05 : 803.94 = 165.76 : x
  2. Step 2: Convert to fraction form
    536.05/803.94 = 165.76/x
  3. Step 3: Cross multiply
    536.05x = 803.94 × 165.76
  4. Step 4: Simplify right side
    536.05x = 133,258.46
  5. Step 5: Solve for x
    x = 133,258.46/536.05
  6. Step 6: Final answer
    x = 248.59

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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.