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Finding the Fourth Proportional to 404.36, 559.14 and 346.76

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Solution

The fourth proportional to 404.36, 559.14 and 346.76 is: 479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 559.14 = 346.76 : x
  2. Step 2: Convert to fraction form
    404.36/559.14 = 346.76/x
  3. Step 3: Cross multiply
    404.36x = 559.14 × 346.76
  4. Step 4: Simplify right side
    404.36x = 193,887.39
  5. Step 5: Solve for x
    x = 193,887.39/404.36
  6. Step 6: Final answer
    x = 479.49

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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.