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Finding the Fourth Proportional to 283.94, 423.86 and 245.68

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Solution

The fourth proportional to 283.94, 423.86 and 245.68 is: 366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 423.86 = 245.68 : x
  2. Step 2: Convert to fraction form
    283.94/423.86 = 245.68/x
  3. Step 3: Cross multiply
    283.94x = 423.86 × 245.68
  4. Step 4: Simplify right side
    283.94x = 104,133.92
  5. Step 5: Solve for x
    x = 104,133.92/283.94
  6. Step 6: Final answer
    x = 366.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.