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Finding the Fourth Proportional to 170.21, 234.67 and 114.83

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Solution

The fourth proportional to 170.21, 234.67 and 114.83 is: 158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.21 : 234.67 = 114.83 : x
  2. Step 2: Convert to fraction form
    170.21/234.67 = 114.83/x
  3. Step 3: Cross multiply
    170.21x = 234.67 × 114.83
  4. Step 4: Simplify right side
    170.21x = 26,947.16
  5. Step 5: Solve for x
    x = 26,947.16/170.21
  6. Step 6: Final answer
    x = 158.32

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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.