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Finding the Fourth Proportional to 179.85, 248.18 and 106.17

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Solution

The fourth proportional to 179.85, 248.18 and 106.17 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.85 : 248.18 = 106.17 : x
  2. Step 2: Convert to fraction form
    179.85/248.18 = 106.17/x
  3. Step 3: Cross multiply
    179.85x = 248.18 × 106.17
  4. Step 4: Simplify right side
    179.85x = 26,349.27
  5. Step 5: Solve for x
    x = 26,349.27/179.85
  6. Step 6: Final answer
    x = 146.51

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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.