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Finding the Fourth Proportional to 286.17, 427.62 and 194.10

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Solution

The fourth proportional to 286.17, 427.62 and 194.10 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 427.62 = 194.10 : x
  2. Step 2: Convert to fraction form
    286.17/427.62 = 194.10/x
  3. Step 3: Cross multiply
    286.17x = 427.62 × 194.10
  4. Step 4: Simplify right side
    286.17x = 83,001.04
  5. Step 5: Solve for x
    x = 83,001.04/286.17
  6. Step 6: Final answer
    x = 290.04

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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.