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Finding the Fourth Proportional to 300.72, 415.15 and 176.38

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Solution

The fourth proportional to 300.72, 415.15 and 176.38 is: 243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 415.15 = 176.38 : x
  2. Step 2: Convert to fraction form
    300.72/415.15 = 176.38/x
  3. Step 3: Cross multiply
    300.72x = 415.15 × 176.38
  4. Step 4: Simplify right side
    300.72x = 73,223.67
  5. Step 5: Solve for x
    x = 73,223.67/300.72
  6. Step 6: Final answer
    x = 243.50

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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.