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Finding the Fourth Proportional to 400.83, 553.28 and 284.19

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Solution

The fourth proportional to 400.83, 553.28 and 284.19 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.83 : 553.28 = 284.19 : x
  2. Step 2: Convert to fraction form
    400.83/553.28 = 284.19/x
  3. Step 3: Cross multiply
    400.83x = 553.28 × 284.19
  4. Step 4: Simplify right side
    400.83x = 157,236.64
  5. Step 5: Solve for x
    x = 157,236.64/400.83
  6. Step 6: Final answer
    x = 392.28

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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.