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Finding the Fourth Proportional to 170.21, 234.61 and 117.83

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Solution

The fourth proportional to 170.21, 234.61 and 117.83 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.21 : 234.61 = 117.83 : x
  2. Step 2: Convert to fraction form
    170.21/234.61 = 117.83/x
  3. Step 3: Cross multiply
    170.21x = 234.61 × 117.83
  4. Step 4: Simplify right side
    170.21x = 27,642.63
  5. Step 5: Solve for x
    x = 27,642.63/170.21
  6. Step 6: Final answer
    x = 162.41

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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.