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Finding the Fourth Proportional to 191.58, 286.16 and 188.34

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Solution

The fourth proportional to 191.58, 286.16 and 188.34 is: 281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.58 : 286.16 = 188.34 : x
  2. Step 2: Convert to fraction form
    191.58/286.16 = 188.34/x
  3. Step 3: Cross multiply
    191.58x = 286.16 × 188.34
  4. Step 4: Simplify right side
    191.58x = 53,893.94
  5. Step 5: Solve for x
    x = 53,893.94/191.58
  6. Step 6: Final answer
    x = 281.32

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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.