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Finding the Fourth Proportional to 300.57, 415.44 and 265.35

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Solution

The fourth proportional to 300.57, 415.44 and 265.35 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.57 : 415.44 = 265.35 : x
  2. Step 2: Convert to fraction form
    300.57/415.44 = 265.35/x
  3. Step 3: Cross multiply
    300.57x = 415.44 × 265.35
  4. Step 4: Simplify right side
    300.57x = 110,237.00
  5. Step 5: Solve for x
    x = 110,237.00/300.57
  6. Step 6: Final answer
    x = 366.76

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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.