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Finding the Fourth Proportional to 409.21, 564.47 and 381.87

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Solution

The fourth proportional to 409.21, 564.47 and 381.87 is: 526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.21 : 564.47 = 381.87 : x
  2. Step 2: Convert to fraction form
    409.21/564.47 = 381.87/x
  3. Step 3: Cross multiply
    409.21x = 564.47 × 381.87
  4. Step 4: Simplify right side
    409.21x = 215,552.25
  5. Step 5: Solve for x
    x = 215,552.25/409.21
  6. Step 6: Final answer
    x = 526.76

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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.