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Finding the Fourth Proportional to 146.30, 219.15 and 74

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Solution

The fourth proportional to 146.30, 219.15 and 74 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.30 : 219.15 = 74 : x
  2. Step 2: Convert to fraction form
    146.30/219.15 = 74/x
  3. Step 3: Cross multiply
    146.30x = 219.15 × 74
  4. Step 4: Simplify right side
    146.30x = 16,217.10
  5. Step 5: Solve for x
    x = 16,217.10/146.30
  6. Step 6: Final answer
    x = 110.85

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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.