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Finding the Fourth Proportional to 300.11, 414.18 and 202.10

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Solution

The fourth proportional to 300.11, 414.18 and 202.10 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.11 : 414.18 = 202.10 : x
  2. Step 2: Convert to fraction form
    300.11/414.18 = 202.10/x
  3. Step 3: Cross multiply
    300.11x = 414.18 × 202.10
  4. Step 4: Simplify right side
    300.11x = 83,703.71
  5. Step 5: Solve for x
    x = 83,703.71/300.11
  6. Step 6: Final answer
    x = 278.91

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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.