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Finding the Fourth Proportional to 403.66, 558.17 and 320.62

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Solution

The fourth proportional to 403.66, 558.17 and 320.62 is: 443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.66 : 558.17 = 320.62 : x
  2. Step 2: Convert to fraction form
    403.66/558.17 = 320.62/x
  3. Step 3: Cross multiply
    403.66x = 558.17 × 320.62
  4. Step 4: Simplify right side
    403.66x = 178,960.47
  5. Step 5: Solve for x
    x = 178,960.47/403.66
  6. Step 6: Final answer
    x = 443.34

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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.