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Finding the Fourth Proportional to 436.28, 652.97 and 310.56

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Solution

The fourth proportional to 436.28, 652.97 and 310.56 is: 464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.28 : 652.97 = 310.56 : x
  2. Step 2: Convert to fraction form
    436.28/652.97 = 310.56/x
  3. Step 3: Cross multiply
    436.28x = 652.97 × 310.56
  4. Step 4: Simplify right side
    436.28x = 202,786.36
  5. Step 5: Solve for x
    x = 202,786.36/436.28
  6. Step 6: Final answer
    x = 464.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.