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Finding the Fourth Proportional to 564.46, 847.02 and 256.31

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Solution

The fourth proportional to 564.46, 847.02 and 256.31 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 847.02 = 256.31 : x
  2. Step 2: Convert to fraction form
    564.46/847.02 = 256.31/x
  3. Step 3: Cross multiply
    564.46x = 847.02 × 256.31
  4. Step 4: Simplify right side
    564.46x = 217,098.22
  5. Step 5: Solve for x
    x = 217,098.22/564.46
  6. Step 6: Final answer
    x = 384.61

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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.