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Finding the Fourth Proportional to 170.78, 235.64 and 105.23

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Solution

The fourth proportional to 170.78, 235.64 and 105.23 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.78 : 235.64 = 105.23 : x
  2. Step 2: Convert to fraction form
    170.78/235.64 = 105.23/x
  3. Step 3: Cross multiply
    170.78x = 235.64 × 105.23
  4. Step 4: Simplify right side
    170.78x = 24,797.25
  5. Step 5: Solve for x
    x = 24,797.25/170.78
  6. Step 6: Final answer
    x = 145.20

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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.