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Finding the Fourth Proportional to 205.31, 282.52 and 155.99

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Solution

The fourth proportional to 205.31, 282.52 and 155.99 is: 214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 282.52 = 155.99 : x
  2. Step 2: Convert to fraction form
    205.31/282.52 = 155.99/x
  3. Step 3: Cross multiply
    205.31x = 282.52 × 155.99
  4. Step 4: Simplify right side
    205.31x = 44,071.20
  5. Step 5: Solve for x
    x = 44,071.20/205.31
  6. Step 6: Final answer
    x = 214.65

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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.