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Finding the Fourth Proportional to 532.22, 734.42 and 299.35

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Solution

The fourth proportional to 532.22, 734.42 and 299.35 is: 413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.22 : 734.42 = 299.35 : x
  2. Step 2: Convert to fraction form
    532.22/734.42 = 299.35/x
  3. Step 3: Cross multiply
    532.22x = 734.42 × 299.35
  4. Step 4: Simplify right side
    532.22x = 219,844.48
  5. Step 5: Solve for x
    x = 219,844.48/532.22
  6. Step 6: Final answer
    x = 413.07

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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.