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Finding the Fourth Proportional to 649.73, 974.30 and 210.90

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Solution

The fourth proportional to 649.73, 974.30 and 210.90 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 974.30 = 210.90 : x
  2. Step 2: Convert to fraction form
    649.73/974.30 = 210.90/x
  3. Step 3: Cross multiply
    649.73x = 974.30 × 210.90
  4. Step 4: Simplify right side
    649.73x = 205,478.82
  5. Step 5: Solve for x
    x = 205,478.82/649.73
  6. Step 6: Final answer
    x = 316.26

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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.