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Finding the Fourth Proportional to 469.75, 648.16 and 303.94

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Solution

The fourth proportional to 469.75, 648.16 and 303.94 is: 419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.75 : 648.16 = 303.94 : x
  2. Step 2: Convert to fraction form
    469.75/648.16 = 303.94/x
  3. Step 3: Cross multiply
    469.75x = 648.16 × 303.94
  4. Step 4: Simplify right side
    469.75x = 197,003.03
  5. Step 5: Solve for x
    x = 197,003.03/469.75
  6. Step 6: Final answer
    x = 419.38

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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.