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Finding the Fourth Proportional to 283.49, 390.84 and 185.21

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Solution

The fourth proportional to 283.49, 390.84 and 185.21 is: 255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.49 : 390.84 = 185.21 : x
  2. Step 2: Convert to fraction form
    283.49/390.84 = 185.21/x
  3. Step 3: Cross multiply
    283.49x = 390.84 × 185.21
  4. Step 4: Simplify right side
    283.49x = 72,387.48
  5. Step 5: Solve for x
    x = 72,387.48/283.49
  6. Step 6: Final answer
    x = 255.34

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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.