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Finding the Fourth Proportional to 191.53, 286.02 and 188.29

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Solution

The fourth proportional to 191.53, 286.02 and 188.29 is: 281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 286.02 = 188.29 : x
  2. Step 2: Convert to fraction form
    191.53/286.02 = 188.29/x
  3. Step 3: Cross multiply
    191.53x = 286.02 × 188.29
  4. Step 4: Simplify right side
    191.53x = 53,852.33
  5. Step 5: Solve for x
    x = 53,852.33/191.53
  6. Step 6: Final answer
    x = 281.18

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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.