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Finding the Fourth Proportional to 280.56, 386.78 and 228.02

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Solution

The fourth proportional to 280.56, 386.78 and 228.02 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 386.78 = 228.02 : x
  2. Step 2: Convert to fraction form
    280.56/386.78 = 228.02/x
  3. Step 3: Cross multiply
    280.56x = 386.78 × 228.02
  4. Step 4: Simplify right side
    280.56x = 88,190.50
  5. Step 5: Solve for x
    x = 88,190.50/280.56
  6. Step 6: Final answer
    x = 314.34

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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.