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Finding the Fourth Proportional to 358.43, 537.64 and 255.76

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Solution

The fourth proportional to 358.43, 537.64 and 255.76 is: 383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 537.64 = 255.76 : x
  2. Step 2: Convert to fraction form
    358.43/537.64 = 255.76/x
  3. Step 3: Cross multiply
    358.43x = 537.64 × 255.76
  4. Step 4: Simplify right side
    358.43x = 137,504.82
  5. Step 5: Solve for x
    x = 137,504.82/358.43
  6. Step 6: Final answer
    x = 383.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.