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Finding the Fourth Proportional to 205.38, 282.87 and 156.15

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Solution

The fourth proportional to 205.38, 282.87 and 156.15 is: 215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 282.87 = 156.15 : x
  2. Step 2: Convert to fraction form
    205.38/282.87 = 156.15/x
  3. Step 3: Cross multiply
    205.38x = 282.87 × 156.15
  4. Step 4: Simplify right side
    205.38x = 44,170.15
  5. Step 5: Solve for x
    x = 44,170.15/205.38
  6. Step 6: Final answer
    x = 215.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.