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Finding the Fourth Proportional to 404.21, 558.13 and 310.81

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Solution

The fourth proportional to 404.21, 558.13 and 310.81 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.21 : 558.13 = 310.81 : x
  2. Step 2: Convert to fraction form
    404.21/558.13 = 310.81/x
  3. Step 3: Cross multiply
    404.21x = 558.13 × 310.81
  4. Step 4: Simplify right side
    404.21x = 173,472.39
  5. Step 5: Solve for x
    x = 173,472.39/404.21
  6. Step 6: Final answer
    x = 429.16

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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.