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Finding the Fourth Proportional to 404.18, 558.53 and 299.39

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Solution

The fourth proportional to 404.18, 558.53 and 299.39 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.18 : 558.53 = 299.39 : x
  2. Step 2: Convert to fraction form
    404.18/558.53 = 299.39/x
  3. Step 3: Cross multiply
    404.18x = 558.53 × 299.39
  4. Step 4: Simplify right side
    404.18x = 167,218.30
  5. Step 5: Solve for x
    x = 167,218.30/404.18
  6. Step 6: Final answer
    x = 413.72

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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.