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Finding the Fourth Proportional to 532.26, 734.38 and 311.27

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Solution

The fourth proportional to 532.26, 734.38 and 311.27 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 734.38 = 311.27 : x
  2. Step 2: Convert to fraction form
    532.26/734.38 = 311.27/x
  3. Step 3: Cross multiply
    532.26x = 734.38 × 311.27
  4. Step 4: Simplify right side
    532.26x = 228,586.01
  5. Step 5: Solve for x
    x = 228,586.01/532.26
  6. Step 6: Final answer
    x = 429.46

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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.