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Finding the Fourth Proportional to 301.15, 415.59 and 168.37

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Solution

The fourth proportional to 301.15, 415.59 and 168.37 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.15 : 415.59 = 168.37 : x
  2. Step 2: Convert to fraction form
    301.15/415.59 = 168.37/x
  3. Step 3: Cross multiply
    301.15x = 415.59 × 168.37
  4. Step 4: Simplify right side
    301.15x = 69,972.89
  5. Step 5: Solve for x
    x = 69,972.89/301.15
  6. Step 6: Final answer
    x = 232.35

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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.