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Finding the Fourth Proportional to 105.68, 157.66 and 98

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Solution

The fourth proportional to 105.68, 157.66 and 98 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 157.66 = 98 : x
  2. Step 2: Convert to fraction form
    105.68/157.66 = 98/x
  3. Step 3: Cross multiply
    105.68x = 157.66 × 98
  4. Step 4: Simplify right side
    105.68x = 15,450.68
  5. Step 5: Solve for x
    x = 15,450.68/105.68
  6. Step 6: Final answer
    x = 146.20

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Find fourth proportional to 52.84, 78.83 and 49
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.