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Finding the Fourth Proportional to 247.10, 340.73 and 212.25

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Solution

The fourth proportional to 247.10, 340.73 and 212.25 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.10 : 340.73 = 212.25 : x
  2. Step 2: Convert to fraction form
    247.10/340.73 = 212.25/x
  3. Step 3: Cross multiply
    247.10x = 340.73 × 212.25
  4. Step 4: Simplify right side
    247.10x = 72,319.94
  5. Step 5: Solve for x
    x = 72,319.94/247.10
  6. Step 6: Final answer
    x = 292.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.