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Finding the Fourth Proportional to 170.70, 235.74 and 137.89

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Solution

The fourth proportional to 170.70, 235.74 and 137.89 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.70 : 235.74 = 137.89 : x
  2. Step 2: Convert to fraction form
    170.70/235.74 = 137.89/x
  3. Step 3: Cross multiply
    170.70x = 235.74 × 137.89
  4. Step 4: Simplify right side
    170.70x = 32,506.19
  5. Step 5: Solve for x
    x = 32,506.19/170.70
  6. Step 6: Final answer
    x = 190.43

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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.