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Finding the Fourth Proportional to 286.95, 430.59 and 171.68

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Solution

The fourth proportional to 286.95, 430.59 and 171.68 is: 257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 430.59 = 171.68 : x
  2. Step 2: Convert to fraction form
    286.95/430.59 = 171.68/x
  3. Step 3: Cross multiply
    286.95x = 430.59 × 171.68
  4. Step 4: Simplify right side
    286.95x = 73,921.54
  5. Step 5: Solve for x
    x = 73,921.54/286.95
  6. Step 6: Final answer
    x = 257.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.