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Finding the Fourth Proportional to 602.56, 903.97 and 212.55

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Solution

The fourth proportional to 602.56, 903.97 and 212.55 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 903.97 = 212.55 : x
  2. Step 2: Convert to fraction form
    602.56/903.97 = 212.55/x
  3. Step 3: Cross multiply
    602.56x = 903.97 × 212.55
  4. Step 4: Simplify right side
    602.56x = 192,134.30
  5. Step 5: Solve for x
    x = 192,134.30/602.56
  6. Step 6: Final answer
    x = 318.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.