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Finding the Fourth Proportional to 531.46, 796.03 and 256.97

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Solution

The fourth proportional to 531.46, 796.03 and 256.97 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.46 : 796.03 = 256.97 : x
  2. Step 2: Convert to fraction form
    531.46/796.03 = 256.97/x
  3. Step 3: Cross multiply
    531.46x = 796.03 × 256.97
  4. Step 4: Simplify right side
    531.46x = 204,554.19
  5. Step 5: Solve for x
    x = 204,554.19/531.46
  6. Step 6: Final answer
    x = 384.89

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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.