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Finding the Fourth Proportional to 191.95, 287.99 and 70.25

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Solution

The fourth proportional to 191.95, 287.99 and 70.25 is: 105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.95 : 287.99 = 70.25 : x
  2. Step 2: Convert to fraction form
    191.95/287.99 = 70.25/x
  3. Step 3: Cross multiply
    191.95x = 287.99 × 70.25
  4. Step 4: Simplify right side
    191.95x = 20,229.77
  5. Step 5: Solve for x
    x = 20,229.77/191.95
  6. Step 6: Final answer
    x = 105.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.