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Finding the Fourth Proportional to 404.06, 557.78 and 305.84

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Solution

The fourth proportional to 404.06, 557.78 and 305.84 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 557.78 = 305.84 : x
  2. Step 2: Convert to fraction form
    404.06/557.78 = 305.84/x
  3. Step 3: Cross multiply
    404.06x = 557.78 × 305.84
  4. Step 4: Simplify right side
    404.06x = 170,587.12
  5. Step 5: Solve for x
    x = 170,587.12/404.06
  6. Step 6: Final answer
    x = 422.19

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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.