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Finding the Fourth Proportional to 416.31, 571.43 and 368.64

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Solution

The fourth proportional to 416.31, 571.43 and 368.64 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 571.43 = 368.64 : x
  2. Step 2: Convert to fraction form
    416.31/571.43 = 368.64/x
  3. Step 3: Cross multiply
    416.31x = 571.43 × 368.64
  4. Step 4: Simplify right side
    416.31x = 210,652.88
  5. Step 5: Solve for x
    x = 210,652.88/416.31
  6. Step 6: Final answer
    x = 506.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.