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Finding the Fourth Proportional to 204.08, 304.65 and 189.06

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Solution

The fourth proportional to 204.08, 304.65 and 189.06 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 304.65 = 189.06 : x
  2. Step 2: Convert to fraction form
    204.08/304.65 = 189.06/x
  3. Step 3: Cross multiply
    204.08x = 304.65 × 189.06
  4. Step 4: Simplify right side
    204.08x = 57,597.13
  5. Step 5: Solve for x
    x = 57,597.13/204.08
  6. Step 6: Final answer
    x = 282.23

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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.