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Finding the Fourth Proportional to 245.36, 367.89 and 115.28

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Solution

The fourth proportional to 245.36, 367.89 and 115.28 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 367.89 = 115.28 : x
  2. Step 2: Convert to fraction form
    245.36/367.89 = 115.28/x
  3. Step 3: Cross multiply
    245.36x = 367.89 × 115.28
  4. Step 4: Simplify right side
    245.36x = 42,412.40
  5. Step 5: Solve for x
    x = 42,412.40/245.36
  6. Step 6: Final answer
    x = 172.85

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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.