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Finding the Fourth Proportional to 258.08, 385.58 and 191.90

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Solution

The fourth proportional to 258.08, 385.58 and 191.90 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.08 : 385.58 = 191.90 : x
  2. Step 2: Convert to fraction form
    258.08/385.58 = 191.90/x
  3. Step 3: Cross multiply
    258.08x = 385.58 × 191.90
  4. Step 4: Simplify right side
    258.08x = 73,992.80
  5. Step 5: Solve for x
    x = 73,992.80/258.08
  6. Step 6: Final answer
    x = 286.70

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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.