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Finding the Fourth Proportional to 292.46, 438.39 and 189.79

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Solution

The fourth proportional to 292.46, 438.39 and 189.79 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.46 : 438.39 = 189.79 : x
  2. Step 2: Convert to fraction form
    292.46/438.39 = 189.79/x
  3. Step 3: Cross multiply
    292.46x = 438.39 × 189.79
  4. Step 4: Simplify right side
    292.46x = 83,202.87
  5. Step 5: Solve for x
    x = 83,202.87/292.46
  6. Step 6: Final answer
    x = 284.49

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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.