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Finding the Fourth Proportional to 205.58, 282.10 and 187.01

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Solution

The fourth proportional to 205.58, 282.10 and 187.01 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.58 : 282.10 = 187.01 : x
  2. Step 2: Convert to fraction form
    205.58/282.10 = 187.01/x
  3. Step 3: Cross multiply
    205.58x = 282.10 × 187.01
  4. Step 4: Simplify right side
    205.58x = 52,754.59
  5. Step 5: Solve for x
    x = 52,754.59/205.58
  6. Step 6: Final answer
    x = 256.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.