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Finding the Fourth Proportional to 404.14, 557.81 and 338.53

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Solution

The fourth proportional to 404.14, 557.81 and 338.53 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 557.81 = 338.53 : x
  2. Step 2: Convert to fraction form
    404.14/557.81 = 338.53/x
  3. Step 3: Cross multiply
    404.14x = 557.81 × 338.53
  4. Step 4: Simplify right side
    404.14x = 188,835.42
  5. Step 5: Solve for x
    x = 188,835.42/404.14
  6. Step 6: Final answer
    x = 467.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.