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Finding the Fourth Proportional to 170.94, 255 and 158.16

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Solution

The fourth proportional to 170.94, 255 and 158.16 is: 235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 255 = 158.16 : x
  2. Step 2: Convert to fraction form
    170.94/255 = 158.16/x
  3. Step 3: Cross multiply
    170.94x = 255 × 158.16
  4. Step 4: Simplify right side
    170.94x = 40,330.80
  5. Step 5: Solve for x
    x = 40,330.80/170.94
  6. Step 6: Final answer
    x = 235.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.