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Finding the Fourth Proportional to 245.16, 367.72 and 115.12

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Solution

The fourth proportional to 245.16, 367.72 and 115.12 is: 172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.16 : 367.72 = 115.12 : x
  2. Step 2: Convert to fraction form
    245.16/367.72 = 115.12/x
  3. Step 3: Cross multiply
    245.16x = 367.72 × 115.12
  4. Step 4: Simplify right side
    245.16x = 42,331.93
  5. Step 5: Solve for x
    x = 42,331.93/245.16
  6. Step 6: Final answer
    x = 172.67

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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.