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Finding the Fourth Proportional to 415.22, 572.06 and 321.63

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Solution

The fourth proportional to 415.22, 572.06 and 321.63 is: 443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 572.06 = 321.63 : x
  2. Step 2: Convert to fraction form
    415.22/572.06 = 321.63/x
  3. Step 3: Cross multiply
    415.22x = 572.06 × 321.63
  4. Step 4: Simplify right side
    415.22x = 183,990.05
  5. Step 5: Solve for x
    x = 183,990.05/415.22
  6. Step 6: Final answer
    x = 443.12

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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.