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Finding the Fourth Proportional to 223.94, 310.61 and 215.74

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Solution

The fourth proportional to 223.94, 310.61 and 215.74 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.94 : 310.61 = 215.74 : x
  2. Step 2: Convert to fraction form
    223.94/310.61 = 215.74/x
  3. Step 3: Cross multiply
    223.94x = 310.61 × 215.74
  4. Step 4: Simplify right side
    223.94x = 67,011.00
  5. Step 5: Solve for x
    x = 67,011.00/223.94
  6. Step 6: Final answer
    x = 299.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.