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Finding the Fourth Proportional to 295.46, 407.91 and 212.78

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Solution

The fourth proportional to 295.46, 407.91 and 212.78 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.46 : 407.91 = 212.78 : x
  2. Step 2: Convert to fraction form
    295.46/407.91 = 212.78/x
  3. Step 3: Cross multiply
    295.46x = 407.91 × 212.78
  4. Step 4: Simplify right side
    295.46x = 86,795.09
  5. Step 5: Solve for x
    x = 86,795.09/295.46
  6. Step 6: Final answer
    x = 293.76

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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.