Home / 656.14-984.23-169.20

Finding the Fourth Proportional to 656.14, 984.23 and 169.20

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Solution

The fourth proportional to 656.14, 984.23 and 169.20 is: 253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 984.23 = 169.20 : x
  2. Step 2: Convert to fraction form
    656.14/984.23 = 169.20/x
  3. Step 3: Cross multiply
    656.14x = 984.23 × 169.20
  4. Step 4: Simplify right side
    656.14x = 166,531.72
  5. Step 5: Solve for x
    x = 166,531.72/656.14
  6. Step 6: Final answer
    x = 253.81

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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.