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Finding the Fourth Proportional to 471.15, 650.34 and 305.07

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Solution

The fourth proportional to 471.15, 650.34 and 305.07 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 650.34 = 305.07 : x
  2. Step 2: Convert to fraction form
    471.15/650.34 = 305.07/x
  3. Step 3: Cross multiply
    471.15x = 650.34 × 305.07
  4. Step 4: Simplify right side
    471.15x = 198,399.22
  5. Step 5: Solve for x
    x = 198,399.22/471.15
  6. Step 6: Final answer
    x = 421.10

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