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Finding the Fourth Proportional to 301.09, 415.53 and 176.77

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Solution

The fourth proportional to 301.09, 415.53 and 176.77 is: 243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.09 : 415.53 = 176.77 : x
  2. Step 2: Convert to fraction form
    301.09/415.53 = 176.77/x
  3. Step 3: Cross multiply
    301.09x = 415.53 × 176.77
  4. Step 4: Simplify right side
    301.09x = 73,453.24
  5. Step 5: Solve for x
    x = 73,453.24/301.09
  6. Step 6: Final answer
    x = 243.96

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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.