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Finding the Fourth Proportional to 171.15, 235.74 and 140.01

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Solution

The fourth proportional to 171.15, 235.74 and 140.01 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.15 : 235.74 = 140.01 : x
  2. Step 2: Convert to fraction form
    171.15/235.74 = 140.01/x
  3. Step 3: Cross multiply
    171.15x = 235.74 × 140.01
  4. Step 4: Simplify right side
    171.15x = 33,005.96
  5. Step 5: Solve for x
    x = 33,005.96/171.15
  6. Step 6: Final answer
    x = 192.85

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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.