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Finding the Fourth Proportional to 469.75, 648.07 and 303.93

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Solution

The fourth proportional to 469.75, 648.07 and 303.93 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.75 : 648.07 = 303.93 : x
  2. Step 2: Convert to fraction form
    469.75/648.07 = 303.93/x
  3. Step 3: Cross multiply
    469.75x = 648.07 × 303.93
  4. Step 4: Simplify right side
    469.75x = 196,968.02
  5. Step 5: Solve for x
    x = 196,968.02/469.75
  6. Step 6: Final answer
    x = 419.30

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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.