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Finding the Fourth Proportional to 532.25, 734.37 and 311.09

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Solution

The fourth proportional to 532.25, 734.37 and 311.09 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.25 : 734.37 = 311.09 : x
  2. Step 2: Convert to fraction form
    532.25/734.37 = 311.09/x
  3. Step 3: Cross multiply
    532.25x = 734.37 × 311.09
  4. Step 4: Simplify right side
    532.25x = 228,454.46
  5. Step 5: Solve for x
    x = 228,454.46/532.25
  6. Step 6: Final answer
    x = 429.22

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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.