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Finding the Fourth Proportional to 286.70, 395.76 and 176.22

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Solution

The fourth proportional to 286.70, 395.76 and 176.22 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.70 : 395.76 = 176.22 : x
  2. Step 2: Convert to fraction form
    286.70/395.76 = 176.22/x
  3. Step 3: Cross multiply
    286.70x = 395.76 × 176.22
  4. Step 4: Simplify right side
    286.70x = 69,740.83
  5. Step 5: Solve for x
    x = 69,740.83/286.70
  6. Step 6: Final answer
    x = 243.25

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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.