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Finding the Fourth Proportional to 170.80, 235.76 and 100.88

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Solution

The fourth proportional to 170.80, 235.76 and 100.88 is: 139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.80 : 235.76 = 100.88 : x
  2. Step 2: Convert to fraction form
    170.80/235.76 = 100.88/x
  3. Step 3: Cross multiply
    170.80x = 235.76 × 100.88
  4. Step 4: Simplify right side
    170.80x = 23,783.47
  5. Step 5: Solve for x
    x = 23,783.47/170.80
  6. Step 6: Final answer
    x = 139.25

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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.