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Finding the Fourth Proportional to 286.61, 427.47 and 243.56

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Solution

The fourth proportional to 286.61, 427.47 and 243.56 is: 363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.61 : 427.47 = 243.56 : x
  2. Step 2: Convert to fraction form
    286.61/427.47 = 243.56/x
  3. Step 3: Cross multiply
    286.61x = 427.47 × 243.56
  4. Step 4: Simplify right side
    286.61x = 104,113.38
  5. Step 5: Solve for x
    x = 104,113.38/286.61
  6. Step 6: Final answer
    x = 363.26

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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.