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Finding the Fourth Proportional to 300.39, 450.71 and 146.30

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Solution

The fourth proportional to 300.39, 450.71 and 146.30 is: 219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.39 : 450.71 = 146.30 : x
  2. Step 2: Convert to fraction form
    300.39/450.71 = 146.30/x
  3. Step 3: Cross multiply
    300.39x = 450.71 × 146.30
  4. Step 4: Simplify right side
    300.39x = 65,937.29
  5. Step 5: Solve for x
    x = 65,937.29/300.39
  6. Step 6: Final answer
    x = 219.50

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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.