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Finding the Fourth Proportional to 532.29, 734.54 and 299.41

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Solution

The fourth proportional to 532.29, 734.54 and 299.41 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.29 : 734.54 = 299.41 : x
  2. Step 2: Convert to fraction form
    532.29/734.54 = 299.41/x
  3. Step 3: Cross multiply
    532.29x = 734.54 × 299.41
  4. Step 4: Simplify right side
    532.29x = 219,928.62
  5. Step 5: Solve for x
    x = 219,928.62/532.29
  6. Step 6: Final answer
    x = 413.17

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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.