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Finding the Fourth Proportional to 283.85, 423.27 and 261.41

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Solution

The fourth proportional to 283.85, 423.27 and 261.41 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.85 : 423.27 = 261.41 : x
  2. Step 2: Convert to fraction form
    283.85/423.27 = 261.41/x
  3. Step 3: Cross multiply
    283.85x = 423.27 × 261.41
  4. Step 4: Simplify right side
    283.85x = 110,643.59
  5. Step 5: Solve for x
    x = 110,643.59/283.85
  6. Step 6: Final answer
    x = 389.80

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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.