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Finding the Fourth Proportional to 257.20, 384.60 and 192.40

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Solution

The fourth proportional to 257.20, 384.60 and 192.40 is: 287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 384.60 = 192.40 : x
  2. Step 2: Convert to fraction form
    257.20/384.60 = 192.40/x
  3. Step 3: Cross multiply
    257.20x = 384.60 × 192.40
  4. Step 4: Simplify right side
    257.20x = 73,997.04
  5. Step 5: Solve for x
    x = 73,997.04/257.20
  6. Step 6: Final answer
    x = 287.70

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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.