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Finding the Fourth Proportional to 532.25, 734.51 and 299.45

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Solution

The fourth proportional to 532.25, 734.51 and 299.45 is: 413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.25 : 734.51 = 299.45 : x
  2. Step 2: Convert to fraction form
    532.25/734.51 = 299.45/x
  3. Step 3: Cross multiply
    532.25x = 734.51 × 299.45
  4. Step 4: Simplify right side
    532.25x = 219,949.02
  5. Step 5: Solve for x
    x = 219,949.02/532.25
  6. Step 6: Final answer
    x = 413.24

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Double scale
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Similar ratio
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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.