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Finding the Fourth Proportional to 227.64, 315.58 and 215.32

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Solution

The fourth proportional to 227.64, 315.58 and 215.32 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 315.58 = 215.32 : x
  2. Step 2: Convert to fraction form
    227.64/315.58 = 215.32/x
  3. Step 3: Cross multiply
    227.64x = 315.58 × 215.32
  4. Step 4: Simplify right side
    227.64x = 67,950.69
  5. Step 5: Solve for x
    x = 67,950.69/227.64
  6. Step 6: Final answer
    x = 298.50

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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.