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Finding the Fourth Proportional to 170.98, 235.82 and 129.47

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Solution

The fourth proportional to 170.98, 235.82 and 129.47 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 235.82 = 129.47 : x
  2. Step 2: Convert to fraction form
    170.98/235.82 = 129.47/x
  3. Step 3: Cross multiply
    170.98x = 235.82 × 129.47
  4. Step 4: Simplify right side
    170.98x = 30,530.76
  5. Step 5: Solve for x
    x = 30,530.76/170.98
  6. Step 6: Final answer
    x = 178.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.