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Finding the Fourth Proportional to 245.69, 339.50 and 201.31

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Solution

The fourth proportional to 245.69, 339.50 and 201.31 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 339.50 = 201.31 : x
  2. Step 2: Convert to fraction form
    245.69/339.50 = 201.31/x
  3. Step 3: Cross multiply
    245.69x = 339.50 × 201.31
  4. Step 4: Simplify right side
    245.69x = 68,344.75
  5. Step 5: Solve for x
    x = 68,344.75/245.69
  6. Step 6: Final answer
    x = 278.17

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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.