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Finding the Fourth Proportional to 245.58, 339 and 162.54

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Solution

The fourth proportional to 245.58, 339 and 162.54 is: 224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.58 : 339 = 162.54 : x
  2. Step 2: Convert to fraction form
    245.58/339 = 162.54/x
  3. Step 3: Cross multiply
    245.58x = 339 × 162.54
  4. Step 4: Simplify right side
    245.58x = 55,101.06
  5. Step 5: Solve for x
    x = 55,101.06/245.58
  6. Step 6: Final answer
    x = 224.37

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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.