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Finding the Fourth Proportional to 256.04, 352.44 and 223.23

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Solution

The fourth proportional to 256.04, 352.44 and 223.23 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 352.44 = 223.23 : x
  2. Step 2: Convert to fraction form
    256.04/352.44 = 223.23/x
  3. Step 3: Cross multiply
    256.04x = 352.44 × 223.23
  4. Step 4: Simplify right side
    256.04x = 78,674.07
  5. Step 5: Solve for x
    x = 78,674.07/256.04
  6. Step 6: Final answer
    x = 307.28

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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.