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Finding the Fourth Proportional to 170.79, 235.86 and 146.09

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Solution

The fourth proportional to 170.79, 235.86 and 146.09 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.79 : 235.86 = 146.09 : x
  2. Step 2: Convert to fraction form
    170.79/235.86 = 146.09/x
  3. Step 3: Cross multiply
    170.79x = 235.86 × 146.09
  4. Step 4: Simplify right side
    170.79x = 34,455.61
  5. Step 5: Solve for x
    x = 34,455.61/170.79
  6. Step 6: Final answer
    x = 201.74

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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.