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Finding the Fourth Proportional to 442.76, 610.84 and 276.96

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Solution

The fourth proportional to 442.76, 610.84 and 276.96 is: 382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 610.84 = 276.96 : x
  2. Step 2: Convert to fraction form
    442.76/610.84 = 276.96/x
  3. Step 3: Cross multiply
    442.76x = 610.84 × 276.96
  4. Step 4: Simplify right side
    442.76x = 169,178.25
  5. Step 5: Solve for x
    x = 169,178.25/442.76
  6. Step 6: Final answer
    x = 382.10

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Find fourth proportional to 221.38, 305.42 and 138.48
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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.