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Finding the Fourth Proportional to 654.45, 981.83 and 192.23

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Solution

The fourth proportional to 654.45, 981.83 and 192.23 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.45 : 981.83 = 192.23 : x
  2. Step 2: Convert to fraction form
    654.45/981.83 = 192.23/x
  3. Step 3: Cross multiply
    654.45x = 981.83 × 192.23
  4. Step 4: Simplify right side
    654.45x = 188,731.31
  5. Step 5: Solve for x
    x = 188,731.31/654.45
  6. Step 6: Final answer
    x = 288.38

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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.