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Finding the Fourth Proportional to 301.13, 415.54 and 176.79

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Solution

The fourth proportional to 301.13, 415.54 and 176.79 is: 243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 415.54 = 176.79 : x
  2. Step 2: Convert to fraction form
    301.13/415.54 = 176.79/x
  3. Step 3: Cross multiply
    301.13x = 415.54 × 176.79
  4. Step 4: Simplify right side
    301.13x = 73,461.68
  5. Step 5: Solve for x
    x = 73,461.68/301.13
  6. Step 6: Final answer
    x = 243.95

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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.