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Finding the Fourth Proportional to 404.13, 605.01 and 313.86

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Solution

The fourth proportional to 404.13, 605.01 and 313.86 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.13 : 605.01 = 313.86 : x
  2. Step 2: Convert to fraction form
    404.13/605.01 = 313.86/x
  3. Step 3: Cross multiply
    404.13x = 605.01 × 313.86
  4. Step 4: Simplify right side
    404.13x = 189,888.44
  5. Step 5: Solve for x
    x = 189,888.44/404.13
  6. Step 6: Final answer
    x = 469.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.