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Finding the Fourth Proportional to 300.10, 450.13 and 145.55

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Solution

The fourth proportional to 300.10, 450.13 and 145.55 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 450.13 = 145.55 : x
  2. Step 2: Convert to fraction form
    300.10/450.13 = 145.55/x
  3. Step 3: Cross multiply
    300.10x = 450.13 × 145.55
  4. Step 4: Simplify right side
    300.10x = 65,516.42
  5. Step 5: Solve for x
    x = 65,516.42/300.10
  6. Step 6: Final answer
    x = 218.32

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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.