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Finding the Fourth Proportional to 654.52, 981.62 and 192.20

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Solution

The fourth proportional to 654.52, 981.62 and 192.20 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 981.62 = 192.20 : x
  2. Step 2: Convert to fraction form
    654.52/981.62 = 192.20/x
  3. Step 3: Cross multiply
    654.52x = 981.62 × 192.20
  4. Step 4: Simplify right side
    654.52x = 188,667.36
  5. Step 5: Solve for x
    x = 188,667.36/654.52
  6. Step 6: Final answer
    x = 288.25

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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.