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Finding the Fourth Proportional to 564.67, 846.46 and 256.42

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Solution

The fourth proportional to 564.67, 846.46 and 256.42 is: 384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 846.46 = 256.42 : x
  2. Step 2: Convert to fraction form
    564.67/846.46 = 256.42/x
  3. Step 3: Cross multiply
    564.67x = 846.46 × 256.42
  4. Step 4: Simplify right side
    564.67x = 217,049.27
  5. Step 5: Solve for x
    x = 217,049.27/564.67
  6. Step 6: Final answer
    x = 384.38

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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.