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Finding the Fourth Proportional to 471.03, 649.80 and 296.25

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Solution

The fourth proportional to 471.03, 649.80 and 296.25 is: 408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.03 : 649.80 = 296.25 : x
  2. Step 2: Convert to fraction form
    471.03/649.80 = 296.25/x
  3. Step 3: Cross multiply
    471.03x = 649.80 × 296.25
  4. Step 4: Simplify right side
    471.03x = 192,503.25
  5. Step 5: Solve for x
    x = 192,503.25/471.03
  6. Step 6: Final answer
    x = 408.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.