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Finding the Fourth Proportional to 442.56, 610.70 and 274.46

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Solution

The fourth proportional to 442.56, 610.70 and 274.46 is: 378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 610.70 = 274.46 : x
  2. Step 2: Convert to fraction form
    442.56/610.70 = 274.46/x
  3. Step 3: Cross multiply
    442.56x = 610.70 × 274.46
  4. Step 4: Simplify right side
    442.56x = 167,608.30
  5. Step 5: Solve for x
    x = 167,608.30/442.56
  6. Step 6: Final answer
    x = 378.72

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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.