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Finding the Fourth Proportional to 442.77, 610.99 and 276.94

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Solution

The fourth proportional to 442.77, 610.99 and 276.94 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 610.99 = 276.94 : x
  2. Step 2: Convert to fraction form
    442.77/610.99 = 276.94/x
  3. Step 3: Cross multiply
    442.77x = 610.99 × 276.94
  4. Step 4: Simplify right side
    442.77x = 169,207.57
  5. Step 5: Solve for x
    x = 169,207.57/442.77
  6. Step 6: Final answer
    x = 382.16

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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.