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Finding the Fourth Proportional to 300.18, 414 and 250.20

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Solution

The fourth proportional to 300.18, 414 and 250.20 is: 345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.18 : 414 = 250.20 : x
  2. Step 2: Convert to fraction form
    300.18/414 = 250.20/x
  3. Step 3: Cross multiply
    300.18x = 414 × 250.20
  4. Step 4: Simplify right side
    300.18x = 103,582.80
  5. Step 5: Solve for x
    x = 103,582.80/300.18
  6. Step 6: Final answer
    x = 345.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.