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Finding the Fourth Proportional to 283.58, 391.41 and 165.65

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Solution

The fourth proportional to 283.58, 391.41 and 165.65 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.58 : 391.41 = 165.65 : x
  2. Step 2: Convert to fraction form
    283.58/391.41 = 165.65/x
  3. Step 3: Cross multiply
    283.58x = 391.41 × 165.65
  4. Step 4: Simplify right side
    283.58x = 64,837.07
  5. Step 5: Solve for x
    x = 64,837.07/283.58
  6. Step 6: Final answer
    x = 228.64

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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.