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Finding the Fourth Proportional to 280.05, 384.38 and 248.26

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Solution

The fourth proportional to 280.05, 384.38 and 248.26 is: 340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 384.38 = 248.26 : x
  2. Step 2: Convert to fraction form
    280.05/384.38 = 248.26/x
  3. Step 3: Cross multiply
    280.05x = 384.38 × 248.26
  4. Step 4: Simplify right side
    280.05x = 95,426.18
  5. Step 5: Solve for x
    x = 95,426.18/280.05
  6. Step 6: Final answer
    x = 340.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.