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Finding the Fourth Proportional to 257.20, 384.85 and 180.35

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Solution

The fourth proportional to 257.20, 384.85 and 180.35 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 384.85 = 180.35 : x
  2. Step 2: Convert to fraction form
    257.20/384.85 = 180.35/x
  3. Step 3: Cross multiply
    257.20x = 384.85 × 180.35
  4. Step 4: Simplify right side
    257.20x = 69,408.52
  5. Step 5: Solve for x
    x = 69,408.52/257.20
  6. Step 6: Final answer
    x = 269.86

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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.