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Finding the Fourth Proportional to 204.16, 281.79 and 130.45

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Solution

The fourth proportional to 204.16, 281.79 and 130.45 is: 180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 281.79 = 130.45 : x
  2. Step 2: Convert to fraction form
    204.16/281.79 = 130.45/x
  3. Step 3: Cross multiply
    204.16x = 281.79 × 130.45
  4. Step 4: Simplify right side
    204.16x = 36,759.51
  5. Step 5: Solve for x
    x = 36,759.51/204.16
  6. Step 6: Final answer
    x = 180.05

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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.