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Finding the Fourth Proportional to 403.21, 555.82 and 315.73

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Solution

The fourth proportional to 403.21, 555.82 and 315.73 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.21 : 555.82 = 315.73 : x
  2. Step 2: Convert to fraction form
    403.21/555.82 = 315.73/x
  3. Step 3: Cross multiply
    403.21x = 555.82 × 315.73
  4. Step 4: Simplify right side
    403.21x = 175,489.05
  5. Step 5: Solve for x
    x = 175,489.05/403.21
  6. Step 6: Final answer
    x = 435.23

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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.