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Finding the Fourth Proportional to 170.63, 235.79 and 162.20

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Solution

The fourth proportional to 170.63, 235.79 and 162.20 is: 224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.63 : 235.79 = 162.20 : x
  2. Step 2: Convert to fraction form
    170.63/235.79 = 162.20/x
  3. Step 3: Cross multiply
    170.63x = 235.79 × 162.20
  4. Step 4: Simplify right side
    170.63x = 38,245.07
  5. Step 5: Solve for x
    x = 38,245.07/170.63
  6. Step 6: Final answer
    x = 224.14

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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.