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Finding the Fourth Proportional to 283.53, 391.65 and 210.23

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Solution

The fourth proportional to 283.53, 391.65 and 210.23 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.53 : 391.65 = 210.23 : x
  2. Step 2: Convert to fraction form
    283.53/391.65 = 210.23/x
  3. Step 3: Cross multiply
    283.53x = 391.65 × 210.23
  4. Step 4: Simplify right side
    283.53x = 82,336.48
  5. Step 5: Solve for x
    x = 82,336.48/283.53
  6. Step 6: Final answer
    x = 290.39

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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.