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Finding the Fourth Proportional to 280.10, 385.94 and 197.08

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Solution

The fourth proportional to 280.10, 385.94 and 197.08 is: 271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 385.94 = 197.08 : x
  2. Step 2: Convert to fraction form
    280.10/385.94 = 197.08/x
  3. Step 3: Cross multiply
    280.10x = 385.94 × 197.08
  4. Step 4: Simplify right side
    280.10x = 76,061.06
  5. Step 5: Solve for x
    x = 76,061.06/280.10
  6. Step 6: Final answer
    x = 271.55

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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.