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Finding the Fourth Proportional to 415.21, 571.94 and 316.80

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Solution

The fourth proportional to 415.21, 571.94 and 316.80 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.21 : 571.94 = 316.80 : x
  2. Step 2: Convert to fraction form
    415.21/571.94 = 316.80/x
  3. Step 3: Cross multiply
    415.21x = 571.94 × 316.80
  4. Step 4: Simplify right side
    415.21x = 181,190.59
  5. Step 5: Solve for x
    x = 181,190.59/415.21
  6. Step 6: Final answer
    x = 436.38

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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.