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Finding the Fourth Proportional to 170.34, 234.93 and 108.20

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Solution

The fourth proportional to 170.34, 234.93 and 108.20 is: 149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 234.93 = 108.20 : x
  2. Step 2: Convert to fraction form
    170.34/234.93 = 108.20/x
  3. Step 3: Cross multiply
    170.34x = 234.93 × 108.20
  4. Step 4: Simplify right side
    170.34x = 25,420.42
  5. Step 5: Solve for x
    x = 25,420.42/170.34
  6. Step 6: Final answer
    x = 149.24

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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.