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Finding the Fourth Proportional to 404.60, 557.79 and 339.08

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Solution

The fourth proportional to 404.60, 557.79 and 339.08 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 557.79 = 339.08 : x
  2. Step 2: Convert to fraction form
    404.60/557.79 = 339.08/x
  3. Step 3: Cross multiply
    404.60x = 557.79 × 339.08
  4. Step 4: Simplify right side
    404.60x = 189,135.43
  5. Step 5: Solve for x
    x = 189,135.43/404.60
  6. Step 6: Final answer
    x = 467.46

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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.