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Finding the Fourth Proportional to 648.26, 972.38 and 192.26

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Solution

The fourth proportional to 648.26, 972.38 and 192.26 is: 288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 972.38 = 192.26 : x
  2. Step 2: Convert to fraction form
    648.26/972.38 = 192.26/x
  3. Step 3: Cross multiply
    648.26x = 972.38 × 192.26
  4. Step 4: Simplify right side
    648.26x = 186,949.78
  5. Step 5: Solve for x
    x = 186,949.78/648.26
  6. Step 6: Final answer
    x = 288.39

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.