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Finding the Fourth Proportional to 191.90, 286.77 and 173.67

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Solution

The fourth proportional to 191.90, 286.77 and 173.67 is: 259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.90 : 286.77 = 173.67 : x
  2. Step 2: Convert to fraction form
    191.90/286.77 = 173.67/x
  3. Step 3: Cross multiply
    191.90x = 286.77 × 173.67
  4. Step 4: Simplify right side
    191.90x = 49,803.35
  5. Step 5: Solve for x
    x = 49,803.35/191.90
  6. Step 6: Final answer
    x = 259.53

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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.