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Finding the Fourth Proportional to 164.24, 245.37 and 105.99

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Solution

The fourth proportional to 164.24, 245.37 and 105.99 is: 158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 245.37 = 105.99 : x
  2. Step 2: Convert to fraction form
    164.24/245.37 = 105.99/x
  3. Step 3: Cross multiply
    164.24x = 245.37 × 105.99
  4. Step 4: Simplify right side
    164.24x = 26,007.33
  5. Step 5: Solve for x
    x = 26,007.33/164.24
  6. Step 6: Final answer
    x = 158.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.