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Finding the Fourth Proportional to 130.37, 179.60 and 105.97

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Solution

The fourth proportional to 130.37, 179.60 and 105.97 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.37 : 179.60 = 105.97 : x
  2. Step 2: Convert to fraction form
    130.37/179.60 = 105.97/x
  3. Step 3: Cross multiply
    130.37x = 179.60 × 105.97
  4. Step 4: Simplify right side
    130.37x = 19,032.21
  5. Step 5: Solve for x
    x = 19,032.21/130.37
  6. Step 6: Final answer
    x = 145.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.