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Finding the Fourth Proportional to 400.98, 553.66 and 277.04

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Solution

The fourth proportional to 400.98, 553.66 and 277.04 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.98 : 553.66 = 277.04 : x
  2. Step 2: Convert to fraction form
    400.98/553.66 = 277.04/x
  3. Step 3: Cross multiply
    400.98x = 553.66 × 277.04
  4. Step 4: Simplify right side
    400.98x = 153,385.97
  5. Step 5: Solve for x
    x = 153,385.97/400.98
  6. Step 6: Final answer
    x = 382.53

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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.