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Finding the Fourth Proportional to 205.32, 306.48 and 189.06

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Solution

The fourth proportional to 205.32, 306.48 and 189.06 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 306.48 = 189.06 : x
  2. Step 2: Convert to fraction form
    205.32/306.48 = 189.06/x
  3. Step 3: Cross multiply
    205.32x = 306.48 × 189.06
  4. Step 4: Simplify right side
    205.32x = 57,943.11
  5. Step 5: Solve for x
    x = 57,943.11/205.32
  6. Step 6: Final answer
    x = 282.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.