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Finding the Fourth Proportional to 300.09, 448.22 and 242.45

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Solution

The fourth proportional to 300.09, 448.22 and 242.45 is: 362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.09 : 448.22 = 242.45 : x
  2. Step 2: Convert to fraction form
    300.09/448.22 = 242.45/x
  3. Step 3: Cross multiply
    300.09x = 448.22 × 242.45
  4. Step 4: Simplify right side
    300.09x = 108,667.49
  5. Step 5: Solve for x
    x = 108,667.49/300.09
  6. Step 6: Final answer
    x = 362.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.