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Finding the Fourth Proportional to 353.84, 488.23 and 223.03

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Solution

The fourth proportional to 353.84, 488.23 and 223.03 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 488.23 = 223.03 : x
  2. Step 2: Convert to fraction form
    353.84/488.23 = 223.03/x
  3. Step 3: Cross multiply
    353.84x = 488.23 × 223.03
  4. Step 4: Simplify right side
    353.84x = 108,889.94
  5. Step 5: Solve for x
    x = 108,889.94/353.84
  6. Step 6: Final answer
    x = 307.74

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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.