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Finding the Fourth Proportional to 286.01, 430.68 and 205.41

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Solution

The fourth proportional to 286.01, 430.68 and 205.41 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.01 : 430.68 = 205.41 : x
  2. Step 2: Convert to fraction form
    286.01/430.68 = 205.41/x
  3. Step 3: Cross multiply
    286.01x = 430.68 × 205.41
  4. Step 4: Simplify right side
    286.01x = 88,465.98
  5. Step 5: Solve for x
    x = 88,465.98/286.01
  6. Step 6: Final answer
    x = 309.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.