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Finding the Fourth Proportional to 170.42, 235.16 and 100.48

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Solution

The fourth proportional to 170.42, 235.16 and 100.48 is: 138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 235.16 = 100.48 : x
  2. Step 2: Convert to fraction form
    170.42/235.16 = 100.48/x
  3. Step 3: Cross multiply
    170.42x = 235.16 × 100.48
  4. Step 4: Simplify right side
    170.42x = 23,628.54
  5. Step 5: Solve for x
    x = 23,628.54/170.42
  6. Step 6: Final answer
    x = 138.65

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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.