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Finding the Fourth Proportional to 170.56, 235.33 and 105.02

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Solution

The fourth proportional to 170.56, 235.33 and 105.02 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.56 : 235.33 = 105.02 : x
  2. Step 2: Convert to fraction form
    170.56/235.33 = 105.02/x
  3. Step 3: Cross multiply
    170.56x = 235.33 × 105.02
  4. Step 4: Simplify right side
    170.56x = 24,714.36
  5. Step 5: Solve for x
    x = 24,714.36/170.56
  6. Step 6: Final answer
    x = 144.90

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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.