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Finding the Fourth Proportional to 536.56, 803.94 and 262.28

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Solution

The fourth proportional to 536.56, 803.94 and 262.28 is: 392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.56 : 803.94 = 262.28 : x
  2. Step 2: Convert to fraction form
    536.56/803.94 = 262.28/x
  3. Step 3: Cross multiply
    536.56x = 803.94 × 262.28
  4. Step 4: Simplify right side
    536.56x = 210,857.38
  5. Step 5: Solve for x
    x = 210,857.38/536.56
  6. Step 6: Final answer
    x = 392.98

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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.