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Finding the Fourth Proportional to 130.44, 179.99 and 75.17

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Solution

The fourth proportional to 130.44, 179.99 and 75.17 is: 103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 179.99 = 75.17 : x
  2. Step 2: Convert to fraction form
    130.44/179.99 = 75.17/x
  3. Step 3: Cross multiply
    130.44x = 179.99 × 75.17
  4. Step 4: Simplify right side
    130.44x = 13,529.85
  5. Step 5: Solve for x
    x = 13,529.85/130.44
  6. Step 6: Final answer
    x = 103.72

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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.