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Finding the Fourth Proportional to 115.94, 174.11 and 70.38

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Solution

The fourth proportional to 115.94, 174.11 and 70.38 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.94 : 174.11 = 70.38 : x
  2. Step 2: Convert to fraction form
    115.94/174.11 = 70.38/x
  3. Step 3: Cross multiply
    115.94x = 174.11 × 70.38
  4. Step 4: Simplify right side
    115.94x = 12,253.86
  5. Step 5: Solve for x
    x = 12,253.86/115.94
  6. Step 6: Final answer
    x = 105.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.