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Finding the Fourth Proportional to 353.55, 487.91 and 213.65

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Solution

The fourth proportional to 353.55, 487.91 and 213.65 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.55 : 487.91 = 213.65 : x
  2. Step 2: Convert to fraction form
    353.55/487.91 = 213.65/x
  3. Step 3: Cross multiply
    353.55x = 487.91 × 213.65
  4. Step 4: Simplify right side
    353.55x = 104,240.07
  5. Step 5: Solve for x
    x = 104,240.07/353.55
  6. Step 6: Final answer
    x = 294.84

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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.