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Finding the Fourth Proportional to 301.78, 416.47 and 170.78

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Solution

The fourth proportional to 301.78, 416.47 and 170.78 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.47 = 170.78 : x
  2. Step 2: Convert to fraction form
    301.78/416.47 = 170.78/x
  3. Step 3: Cross multiply
    301.78x = 416.47 × 170.78
  4. Step 4: Simplify right side
    301.78x = 71,124.75
  5. Step 5: Solve for x
    x = 71,124.75/301.78
  6. Step 6: Final answer
    x = 235.68

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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.