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Finding the Fourth Proportional to 482.22, 722.97 and 265.74

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Solution

The fourth proportional to 482.22, 722.97 and 265.74 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.22 : 722.97 = 265.74 : x
  2. Step 2: Convert to fraction form
    482.22/722.97 = 265.74/x
  3. Step 3: Cross multiply
    482.22x = 722.97 × 265.74
  4. Step 4: Simplify right side
    482.22x = 192,122.05
  5. Step 5: Solve for x
    x = 192,122.05/482.22
  6. Step 6: Final answer
    x = 398.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.