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Finding the Fourth Proportional to 245.82, 339.19 and 163.07

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Solution

The fourth proportional to 245.82, 339.19 and 163.07 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 339.19 = 163.07 : x
  2. Step 2: Convert to fraction form
    245.82/339.19 = 163.07/x
  3. Step 3: Cross multiply
    245.82x = 339.19 × 163.07
  4. Step 4: Simplify right side
    245.82x = 55,311.71
  5. Step 5: Solve for x
    x = 55,311.71/245.82
  6. Step 6: Final answer
    x = 225.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.