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Finding the Fourth Proportional to 300.76, 415.47 and 242.44

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Solution

The fourth proportional to 300.76, 415.47 and 242.44 is: 334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 415.47 = 242.44 : x
  2. Step 2: Convert to fraction form
    300.76/415.47 = 242.44/x
  3. Step 3: Cross multiply
    300.76x = 415.47 × 242.44
  4. Step 4: Simplify right side
    300.76x = 100,726.55
  5. Step 5: Solve for x
    x = 100,726.55/300.76
  6. Step 6: Final answer
    x = 334.91

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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.