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Finding the Fourth Proportional to 654.61, 981.68 and 192.27

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Solution

The fourth proportional to 654.61, 981.68 and 192.27 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.61 : 981.68 = 192.27 : x
  2. Step 2: Convert to fraction form
    654.61/981.68 = 192.27/x
  3. Step 3: Cross multiply
    654.61x = 981.68 × 192.27
  4. Step 4: Simplify right side
    654.61x = 188,746.65
  5. Step 5: Solve for x
    x = 188,746.65/654.61
  6. Step 6: Final answer
    x = 288.34

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