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Finding the Fourth Proportional to 230, 318.74 and 226.40

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Solution

The fourth proportional to 230, 318.74 and 226.40 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 318.74 = 226.40 : x
  2. Step 2: Convert to fraction form
    230/318.74 = 226.40/x
  3. Step 3: Cross multiply
    230x = 318.74 × 226.40
  4. Step 4: Simplify right side
    230x = 72,162.74
  5. Step 5: Solve for x
    x = 72,162.74/230
  6. Step 6: Final answer
    x = 313.75

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Why These Related Problems?

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