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Finding the Fourth Proportional to 404.00, 553.47 and 389.42

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Solution

The fourth proportional to 404.00, 553.47 and 389.42 is: 533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.00 : 553.47 = 389.42 : x
  2. Step 2: Convert to fraction form
    404.00/553.47 = 389.42/x
  3. Step 3: Cross multiply
    404.00x = 553.47 × 389.42
  4. Step 4: Simplify right side
    404.00x = 215,529.52
  5. Step 5: Solve for x
    x = 215,529.52/404.00
  6. Step 6: Final answer
    x = 533.50

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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.