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Finding the Fourth Proportional to 116.27, 160.47 and 78.98

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Solution

The fourth proportional to 116.27, 160.47 and 78.98 is: 109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.27 : 160.47 = 78.98 : x
  2. Step 2: Convert to fraction form
    116.27/160.47 = 78.98/x
  3. Step 3: Cross multiply
    116.27x = 160.47 × 78.98
  4. Step 4: Simplify right side
    116.27x = 12,674.84
  5. Step 5: Solve for x
    x = 12,674.84/116.27
  6. Step 6: Final answer
    x = 109.02

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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.