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Finding the Fourth Proportional to 353.68, 488.14 and 222.76

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Solution

The fourth proportional to 353.68, 488.14 and 222.76 is: 307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 488.14 = 222.76 : x
  2. Step 2: Convert to fraction form
    353.68/488.14 = 222.76/x
  3. Step 3: Cross multiply
    353.68x = 488.14 × 222.76
  4. Step 4: Simplify right side
    353.68x = 108,738.07
  5. Step 5: Solve for x
    x = 108,738.07/353.68
  6. Step 6: Final answer
    x = 307.45

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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.