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Finding the Fourth Proportional to 245.40, 367.62 and 115.23

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Solution

The fourth proportional to 245.40, 367.62 and 115.23 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.40 : 367.62 = 115.23 : x
  2. Step 2: Convert to fraction form
    245.40/367.62 = 115.23/x
  3. Step 3: Cross multiply
    245.40x = 367.62 × 115.23
  4. Step 4: Simplify right side
    245.40x = 42,360.85
  5. Step 5: Solve for x
    x = 42,360.85/245.40
  6. Step 6: Final answer
    x = 172.62

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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.