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Finding the Fourth Proportional to 187.65, 283.19 and 181.62

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Solution

The fourth proportional to 187.65, 283.19 and 181.62 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.65 : 283.19 = 181.62 : x
  2. Step 2: Convert to fraction form
    187.65/283.19 = 181.62/x
  3. Step 3: Cross multiply
    187.65x = 283.19 × 181.62
  4. Step 4: Simplify right side
    187.65x = 51,432.06
  5. Step 5: Solve for x
    x = 51,432.06/187.65
  6. Step 6: Final answer
    x = 274.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.