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Finding the Fourth Proportional to 257.28, 385.20 and 192.08

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Solution

The fourth proportional to 257.28, 385.20 and 192.08 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.28 : 385.20 = 192.08 : x
  2. Step 2: Convert to fraction form
    257.28/385.20 = 192.08/x
  3. Step 3: Cross multiply
    257.28x = 385.20 × 192.08
  4. Step 4: Simplify right side
    257.28x = 73,989.22
  5. Step 5: Solve for x
    x = 73,989.22/257.28
  6. Step 6: Final answer
    x = 287.58

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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.