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Finding the Fourth Proportional to 191.98, 285.98 and 181.72

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Solution

The fourth proportional to 191.98, 285.98 and 181.72 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.98 : 285.98 = 181.72 : x
  2. Step 2: Convert to fraction form
    191.98/285.98 = 181.72/x
  3. Step 3: Cross multiply
    191.98x = 285.98 × 181.72
  4. Step 4: Simplify right side
    191.98x = 51,968.29
  5. Step 5: Solve for x
    x = 51,968.29/191.98
  6. Step 6: Final answer
    x = 270.70

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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.