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Finding the Fourth Proportional to 259.04, 356.76 and 223.84

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Solution

The fourth proportional to 259.04, 356.76 and 223.84 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.04 : 356.76 = 223.84 : x
  2. Step 2: Convert to fraction form
    259.04/356.76 = 223.84/x
  3. Step 3: Cross multiply
    259.04x = 356.76 × 223.84
  4. Step 4: Simplify right side
    259.04x = 79,857.16
  5. Step 5: Solve for x
    x = 79,857.16/259.04
  6. Step 6: Final answer
    x = 308.28

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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.