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Finding the Fourth Proportional to 442.85, 610.97 and 277.00

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Solution

The fourth proportional to 442.85, 610.97 and 277.00 is: 382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.85 : 610.97 = 277.00 : x
  2. Step 2: Convert to fraction form
    442.85/610.97 = 277.00/x
  3. Step 3: Cross multiply
    442.85x = 610.97 × 277.00
  4. Step 4: Simplify right side
    442.85x = 169,234.25
  5. Step 5: Solve for x
    x = 169,234.25/442.85
  6. Step 6: Final answer
    x = 382.15

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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.