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Finding the Fourth Proportional to 283.36, 390.19 and 204.53

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Solution

The fourth proportional to 283.36, 390.19 and 204.53 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.36 : 390.19 = 204.53 : x
  2. Step 2: Convert to fraction form
    283.36/390.19 = 204.53/x
  3. Step 3: Cross multiply
    283.36x = 390.19 × 204.53
  4. Step 4: Simplify right side
    283.36x = 79,805.56
  5. Step 5: Solve for x
    x = 79,805.56/283.36
  6. Step 6: Final answer
    x = 281.64

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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.