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Finding the Fourth Proportional to 566.21, 781.22 and 356.42

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Solution

The fourth proportional to 566.21, 781.22 and 356.42 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.21 : 781.22 = 356.42 : x
  2. Step 2: Convert to fraction form
    566.21/781.22 = 356.42/x
  3. Step 3: Cross multiply
    566.21x = 781.22 × 356.42
  4. Step 4: Simplify right side
    566.21x = 278,439.42
  5. Step 5: Solve for x
    x = 278,439.42/566.21
  6. Step 6: Final answer
    x = 491.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.