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Finding the Fourth Proportional to 656.09, 984.05 and 193.92

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Solution

The fourth proportional to 656.09, 984.05 and 193.92 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.09 : 984.05 = 193.92 : x
  2. Step 2: Convert to fraction form
    656.09/984.05 = 193.92/x
  3. Step 3: Cross multiply
    656.09x = 984.05 × 193.92
  4. Step 4: Simplify right side
    656.09x = 190,823.04
  5. Step 5: Solve for x
    x = 190,823.04/656.09
  6. Step 6: Final answer
    x = 290.85

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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.