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Finding the Fourth Proportional to 245.92, 369.24 and 154.36

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Solution

The fourth proportional to 245.92, 369.24 and 154.36 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 369.24 = 154.36 : x
  2. Step 2: Convert to fraction form
    245.92/369.24 = 154.36/x
  3. Step 3: Cross multiply
    245.92x = 369.24 × 154.36
  4. Step 4: Simplify right side
    245.92x = 56,995.89
  5. Step 5: Solve for x
    x = 56,995.89/245.92
  6. Step 6: Final answer
    x = 231.77

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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.