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Finding the Fourth Proportional to 353.52, 487.76 and 222.57

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Solution

The fourth proportional to 353.52, 487.76 and 222.57 is: 307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.52 : 487.76 = 222.57 : x
  2. Step 2: Convert to fraction form
    353.52/487.76 = 222.57/x
  3. Step 3: Cross multiply
    353.52x = 487.76 × 222.57
  4. Step 4: Simplify right side
    353.52x = 108,559.63
  5. Step 5: Solve for x
    x = 108,559.63/353.52
  6. Step 6: Final answer
    x = 307.08

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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.