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Finding the Fourth Proportional to 146.66, 219.91 and 85.81

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Solution

The fourth proportional to 146.66, 219.91 and 85.81 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 219.91 = 85.81 : x
  2. Step 2: Convert to fraction form
    146.66/219.91 = 85.81/x
  3. Step 3: Cross multiply
    146.66x = 219.91 × 85.81
  4. Step 4: Simplify right side
    146.66x = 18,870.48
  5. Step 5: Solve for x
    x = 18,870.48/146.66
  6. Step 6: Final answer
    x = 128.67

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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.