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Finding the Fourth Proportional to 170.94, 234.69 and 156.36

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Solution

The fourth proportional to 170.94, 234.69 and 156.36 is: 214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 234.69 = 156.36 : x
  2. Step 2: Convert to fraction form
    170.94/234.69 = 156.36/x
  3. Step 3: Cross multiply
    170.94x = 234.69 × 156.36
  4. Step 4: Simplify right side
    170.94x = 36,696.13
  5. Step 5: Solve for x
    x = 36,696.13/170.94
  6. Step 6: Final answer
    x = 214.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.