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Finding the Fourth Proportional to 415.20, 573.18 and 322.22

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Solution

The fourth proportional to 415.20, 573.18 and 322.22 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 573.18 = 322.22 : x
  2. Step 2: Convert to fraction form
    415.20/573.18 = 322.22/x
  3. Step 3: Cross multiply
    415.20x = 573.18 × 322.22
  4. Step 4: Simplify right side
    415.20x = 184,690.06
  5. Step 5: Solve for x
    x = 184,690.06/415.20
  6. Step 6: Final answer
    x = 444.82

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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.