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Finding the Fourth Proportional to 280.92, 390.36 and 277.48

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Solution

The fourth proportional to 280.92, 390.36 and 277.48 is: 385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.92 : 390.36 = 277.48 : x
  2. Step 2: Convert to fraction form
    280.92/390.36 = 277.48/x
  3. Step 3: Cross multiply
    280.92x = 390.36 × 277.48
  4. Step 4: Simplify right side
    280.92x = 108,316.12
  5. Step 5: Solve for x
    x = 108,316.12/280.92
  6. Step 6: Final answer
    x = 385.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.