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Finding the Fourth Proportional to 146.40, 219.54 and 55.06

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Solution

The fourth proportional to 146.40, 219.54 and 55.06 is: 82.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 219.54 = 55.06 : x
  2. Step 2: Convert to fraction form
    146.40/219.54 = 55.06/x
  3. Step 3: Cross multiply
    146.40x = 219.54 × 55.06
  4. Step 4: Simplify right side
    146.40x = 12,087.87
  5. Step 5: Solve for x
    x = 12,087.87/146.40
  6. Step 6: Final answer
    x = 82.57

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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.