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Finding the Fourth Proportional to 139.77, 210.69 and 115.88

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Solution

The fourth proportional to 139.77, 210.69 and 115.88 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.77 : 210.69 = 115.88 : x
  2. Step 2: Convert to fraction form
    139.77/210.69 = 115.88/x
  3. Step 3: Cross multiply
    139.77x = 210.69 × 115.88
  4. Step 4: Simplify right side
    139.77x = 24,413.70
  5. Step 5: Solve for x
    x = 24,413.70/139.77
  6. Step 6: Final answer
    x = 174.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.