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Finding the Fourth Proportional to 602.82, 903.90 and 212.79

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Solution

The fourth proportional to 602.82, 903.90 and 212.79 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 903.90 = 212.79 : x
  2. Step 2: Convert to fraction form
    602.82/903.90 = 212.79/x
  3. Step 3: Cross multiply
    602.82x = 903.90 × 212.79
  4. Step 4: Simplify right side
    602.82x = 192,340.88
  5. Step 5: Solve for x
    x = 192,340.88/602.82
  6. Step 6: Final answer
    x = 319.07

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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.