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Finding the Fourth Proportional to 292.66, 438 and 251.38

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Solution

The fourth proportional to 292.66, 438 and 251.38 is: 376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.66 : 438 = 251.38 : x
  2. Step 2: Convert to fraction form
    292.66/438 = 251.38/x
  3. Step 3: Cross multiply
    292.66x = 438 × 251.38
  4. Step 4: Simplify right side
    292.66x = 110,104.44
  5. Step 5: Solve for x
    x = 110,104.44/292.66
  6. Step 6: Final answer
    x = 376.22

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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.