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Finding the Fourth Proportional to 170.71, 233.55 and 170.03

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Solution

The fourth proportional to 170.71, 233.55 and 170.03 is: 232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.71 : 233.55 = 170.03 : x
  2. Step 2: Convert to fraction form
    170.71/233.55 = 170.03/x
  3. Step 3: Cross multiply
    170.71x = 233.55 × 170.03
  4. Step 4: Simplify right side
    170.71x = 39,711.09
  5. Step 5: Solve for x
    x = 39,711.09/170.71
  6. Step 6: Final answer
    x = 232.63

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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.