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Finding the Fourth Proportional to 532.20, 734.34 and 322.44

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Solution

The fourth proportional to 532.20, 734.34 and 322.44 is: 444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 734.34 = 322.44 : x
  2. Step 2: Convert to fraction form
    532.20/734.34 = 322.44/x
  3. Step 3: Cross multiply
    532.20x = 734.34 × 322.44
  4. Step 4: Simplify right side
    532.20x = 236,780.59
  5. Step 5: Solve for x
    x = 236,780.59/532.20
  6. Step 6: Final answer
    x = 444.91

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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.