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Finding the Fourth Proportional to 146.35, 219.38 and 55.02

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Solution

The fourth proportional to 146.35, 219.38 and 55.02 is: 82.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.35 : 219.38 = 55.02 : x
  2. Step 2: Convert to fraction form
    146.35/219.38 = 55.02/x
  3. Step 3: Cross multiply
    146.35x = 219.38 × 55.02
  4. Step 4: Simplify right side
    146.35x = 12,070.84
  5. Step 5: Solve for x
    x = 12,070.84/146.35
  6. Step 6: Final answer
    x = 82.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.