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Finding the Fourth Proportional to 654.44, 981.65 and 192.25

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Solution

The fourth proportional to 654.44, 981.65 and 192.25 is: 288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 981.65 = 192.25 : x
  2. Step 2: Convert to fraction form
    654.44/981.65 = 192.25/x
  3. Step 3: Cross multiply
    654.44x = 981.65 × 192.25
  4. Step 4: Simplify right side
    654.44x = 188,720.24
  5. Step 5: Solve for x
    x = 188,720.24/654.44
  6. Step 6: Final answer
    x = 288.37

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.