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Finding the Fourth Proportional to 300.16, 415.93 and 288.82

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Solution

The fourth proportional to 300.16, 415.93 and 288.82 is: 400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 415.93 = 288.82 : x
  2. Step 2: Convert to fraction form
    300.16/415.93 = 288.82/x
  3. Step 3: Cross multiply
    300.16x = 415.93 × 288.82
  4. Step 4: Simplify right side
    300.16x = 120,128.90
  5. Step 5: Solve for x
    x = 120,128.90/300.16
  6. Step 6: Final answer
    x = 400.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.