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Finding the Fourth Proportional to 300.98, 415.36 and 176.64

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Solution

The fourth proportional to 300.98, 415.36 and 176.64 is: 243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 415.36 = 176.64 : x
  2. Step 2: Convert to fraction form
    300.98/415.36 = 176.64/x
  3. Step 3: Cross multiply
    300.98x = 415.36 × 176.64
  4. Step 4: Simplify right side
    300.98x = 73,368.75
  5. Step 5: Solve for x
    x = 73,368.75/300.98
  6. Step 6: Final answer
    x = 243.77

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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.