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Finding the Fourth Proportional to 400.21, 552.47 and 282.28

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Solution

The fourth proportional to 400.21, 552.47 and 282.28 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.21 : 552.47 = 282.28 : x
  2. Step 2: Convert to fraction form
    400.21/552.47 = 282.28/x
  3. Step 3: Cross multiply
    400.21x = 552.47 × 282.28
  4. Step 4: Simplify right side
    400.21x = 155,950.56
  5. Step 5: Solve for x
    x = 155,950.56/400.21
  6. Step 6: Final answer
    x = 389.67

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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.