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Finding the Fourth Proportional to 245.82, 339.16 and 158.54

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Solution

The fourth proportional to 245.82, 339.16 and 158.54 is: 218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 339.16 = 158.54 : x
  2. Step 2: Convert to fraction form
    245.82/339.16 = 158.54/x
  3. Step 3: Cross multiply
    245.82x = 339.16 × 158.54
  4. Step 4: Simplify right side
    245.82x = 53,771.67
  5. Step 5: Solve for x
    x = 53,771.67/245.82
  6. Step 6: Final answer
    x = 218.74

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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.