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Finding the Fourth Proportional to 315.91, 474.36 and 223.75

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Solution

The fourth proportional to 315.91, 474.36 and 223.75 is: 335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.91 : 474.36 = 223.75 : x
  2. Step 2: Convert to fraction form
    315.91/474.36 = 223.75/x
  3. Step 3: Cross multiply
    315.91x = 474.36 × 223.75
  4. Step 4: Simplify right side
    315.91x = 106,138.05
  5. Step 5: Solve for x
    x = 106,138.05/315.91
  6. Step 6: Final answer
    x = 335.98

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Why These Related Problems?

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