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Finding the Fourth Proportional to 400.21, 552.65 and 284.53

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Solution

The fourth proportional to 400.21, 552.65 and 284.53 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.21 : 552.65 = 284.53 : x
  2. Step 2: Convert to fraction form
    400.21/552.65 = 284.53/x
  3. Step 3: Cross multiply
    400.21x = 552.65 × 284.53
  4. Step 4: Simplify right side
    400.21x = 157,245.50
  5. Step 5: Solve for x
    x = 157,245.50/400.21
  6. Step 6: Final answer
    x = 392.91

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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.