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Finding the Fourth Proportional to 404.24, 553.56 and 382.04

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Solution

The fourth proportional to 404.24, 553.56 and 382.04 is: 523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 553.56 = 382.04 : x
  2. Step 2: Convert to fraction form
    404.24/553.56 = 382.04/x
  3. Step 3: Cross multiply
    404.24x = 553.56 × 382.04
  4. Step 4: Simplify right side
    404.24x = 211,482.06
  5. Step 5: Solve for x
    x = 211,482.06/404.24
  6. Step 6: Final answer
    x = 523.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.