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Finding the Fourth Proportional to 532.19, 734.46 and 299.33

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Solution

The fourth proportional to 532.19, 734.46 and 299.33 is: 413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.19 : 734.46 = 299.33 : x
  2. Step 2: Convert to fraction form
    532.19/734.46 = 299.33/x
  3. Step 3: Cross multiply
    532.19x = 734.46 × 299.33
  4. Step 4: Simplify right side
    532.19x = 219,845.91
  5. Step 5: Solve for x
    x = 219,845.91/532.19
  6. Step 6: Final answer
    x = 413.10

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Double scale
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1.5x scale

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.