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Finding the Fourth Proportional to 301.62, 416.23 and 170.64

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Solution

The fourth proportional to 301.62, 416.23 and 170.64 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 416.23 = 170.64 : x
  2. Step 2: Convert to fraction form
    301.62/416.23 = 170.64/x
  3. Step 3: Cross multiply
    301.62x = 416.23 × 170.64
  4. Step 4: Simplify right side
    301.62x = 71,025.49
  5. Step 5: Solve for x
    x = 71,025.49/301.62
  6. Step 6: Final answer
    x = 235.48

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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.