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Finding the Fourth Proportional to 280.56, 418.80 and 248.52

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Solution

The fourth proportional to 280.56, 418.80 and 248.52 is: 370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 418.80 = 248.52 : x
  2. Step 2: Convert to fraction form
    280.56/418.80 = 248.52/x
  3. Step 3: Cross multiply
    280.56x = 418.80 × 248.52
  4. Step 4: Simplify right side
    280.56x = 104,080.18
  5. Step 5: Solve for x
    x = 104,080.18/280.56
  6. Step 6: Final answer
    x = 370.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.