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Finding the Fourth Proportional to 300.46, 450.78 and 138.10

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Solution

The fourth proportional to 300.46, 450.78 and 138.10 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.46 : 450.78 = 138.10 : x
  2. Step 2: Convert to fraction form
    300.46/450.78 = 138.10/x
  3. Step 3: Cross multiply
    300.46x = 450.78 × 138.10
  4. Step 4: Simplify right side
    300.46x = 62,252.72
  5. Step 5: Solve for x
    x = 62,252.72/300.46
  6. Step 6: Final answer
    x = 207.19

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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.