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Finding the Fourth Proportional to 404.24, 558.11 and 279.86

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Solution

The fourth proportional to 404.24, 558.11 and 279.86 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 558.11 = 279.86 : x
  2. Step 2: Convert to fraction form
    404.24/558.11 = 279.86/x
  3. Step 3: Cross multiply
    404.24x = 558.11 × 279.86
  4. Step 4: Simplify right side
    404.24x = 156,192.14
  5. Step 5: Solve for x
    x = 156,192.14/404.24
  6. Step 6: Final answer
    x = 386.38

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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.