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Finding the Fourth Proportional to 358.78, 537.90 and 256.27

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Solution

The fourth proportional to 358.78, 537.90 and 256.27 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 537.90 = 256.27 : x
  2. Step 2: Convert to fraction form
    358.78/537.90 = 256.27/x
  3. Step 3: Cross multiply
    358.78x = 537.90 × 256.27
  4. Step 4: Simplify right side
    358.78x = 137,847.63
  5. Step 5: Solve for x
    x = 137,847.63/358.78
  6. Step 6: Final answer
    x = 384.21

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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.