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Finding the Fourth Proportional to 443.37, 611.90 and 310.46

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Solution

The fourth proportional to 443.37, 611.90 and 310.46 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.37 : 611.90 = 310.46 : x
  2. Step 2: Convert to fraction form
    443.37/611.90 = 310.46/x
  3. Step 3: Cross multiply
    443.37x = 611.90 × 310.46
  4. Step 4: Simplify right side
    443.37x = 189,970.47
  5. Step 5: Solve for x
    x = 189,970.47/443.37
  6. Step 6: Final answer
    x = 428.47

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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.