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Finding the Fourth Proportional to 223.31, 334.98 and 77.06

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Solution

The fourth proportional to 223.31, 334.98 and 77.06 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.31 : 334.98 = 77.06 : x
  2. Step 2: Convert to fraction form
    223.31/334.98 = 77.06/x
  3. Step 3: Cross multiply
    223.31x = 334.98 × 77.06
  4. Step 4: Simplify right side
    223.31x = 25,813.56
  5. Step 5: Solve for x
    x = 25,813.56/223.31
  6. Step 6: Final answer
    x = 115.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.