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Finding the Fourth Proportional to 259.24, 356 and 222.40

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Solution

The fourth proportional to 259.24, 356 and 222.40 is: 305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 356 = 222.40 : x
  2. Step 2: Convert to fraction form
    259.24/356 = 222.40/x
  3. Step 3: Cross multiply
    259.24x = 356 × 222.40
  4. Step 4: Simplify right side
    259.24x = 79,174.40
  5. Step 5: Solve for x
    x = 79,174.40/259.24
  6. Step 6: Final answer
    x = 305.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.