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Finding the Fourth Proportional to 646.82, 970.26 and 213.98

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Solution

The fourth proportional to 646.82, 970.26 and 213.98 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 970.26 = 213.98 : x
  2. Step 2: Convert to fraction form
    646.82/970.26 = 213.98/x
  3. Step 3: Cross multiply
    646.82x = 970.26 × 213.98
  4. Step 4: Simplify right side
    646.82x = 207,611.38
  5. Step 5: Solve for x
    x = 207,611.38/646.82
  6. Step 6: Final answer
    x = 320.97

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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.