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Finding the Fourth Proportional to 301.86, 416.59 and 170.86

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Solution

The fourth proportional to 301.86, 416.59 and 170.86 is: 235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.59 = 170.86 : x
  2. Step 2: Convert to fraction form
    301.86/416.59 = 170.86/x
  3. Step 3: Cross multiply
    301.86x = 416.59 × 170.86
  4. Step 4: Simplify right side
    301.86x = 71,178.84
  5. Step 5: Solve for x
    x = 71,178.84/301.86
  6. Step 6: Final answer
    x = 235.80

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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.