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Finding the Fourth Proportional to 649.25, 973.90 and 162.30

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Solution

The fourth proportional to 649.25, 973.90 and 162.30 is: 243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.25 : 973.90 = 162.30 : x
  2. Step 2: Convert to fraction form
    649.25/973.90 = 162.30/x
  3. Step 3: Cross multiply
    649.25x = 973.90 × 162.30
  4. Step 4: Simplify right side
    649.25x = 158,063.97
  5. Step 5: Solve for x
    x = 158,063.97/649.25
  6. Step 6: Final answer
    x = 243.46

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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.