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Finding the Fourth Proportional to 280.15, 385.49 and 271.70

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Solution

The fourth proportional to 280.15, 385.49 and 271.70 is: 373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.15 : 385.49 = 271.70 : x
  2. Step 2: Convert to fraction form
    280.15/385.49 = 271.70/x
  3. Step 3: Cross multiply
    280.15x = 385.49 × 271.70
  4. Step 4: Simplify right side
    280.15x = 104,736.27
  5. Step 5: Solve for x
    x = 104,736.27/280.15
  6. Step 6: Final answer
    x = 373.86

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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.