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Finding the Fourth Proportional to 206.51, 311.13 and 187.29

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Solution

The fourth proportional to 206.51, 311.13 and 187.29 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 311.13 = 187.29 : x
  2. Step 2: Convert to fraction form
    206.51/311.13 = 187.29/x
  3. Step 3: Cross multiply
    206.51x = 311.13 × 187.29
  4. Step 4: Simplify right side
    206.51x = 58,271.54
  5. Step 5: Solve for x
    x = 58,271.54/206.51
  6. Step 6: Final answer
    x = 282.18

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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.