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Finding the Fourth Proportional to 300.78, 415.23 and 295.18

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Solution

The fourth proportional to 300.78, 415.23 and 295.18 is: 407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 415.23 = 295.18 : x
  2. Step 2: Convert to fraction form
    300.78/415.23 = 295.18/x
  3. Step 3: Cross multiply
    300.78x = 415.23 × 295.18
  4. Step 4: Simplify right side
    300.78x = 122,565.45
  5. Step 5: Solve for x
    x = 122,565.45/300.78
  6. Step 6: Final answer
    x = 407.49

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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.