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Finding the Fourth Proportional to 280.37, 386.52 and 192.89

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Solution

The fourth proportional to 280.37, 386.52 and 192.89 is: 265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.37 : 386.52 = 192.89 : x
  2. Step 2: Convert to fraction form
    280.37/386.52 = 192.89/x
  3. Step 3: Cross multiply
    280.37x = 386.52 × 192.89
  4. Step 4: Simplify right side
    280.37x = 74,553.91
  5. Step 5: Solve for x
    x = 74,553.91/280.37
  6. Step 6: Final answer
    x = 265.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.