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Finding the Fourth Proportional to 292.68, 438.78 and 254.07

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Solution

The fourth proportional to 292.68, 438.78 and 254.07 is: 380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.68 : 438.78 = 254.07 : x
  2. Step 2: Convert to fraction form
    292.68/438.78 = 254.07/x
  3. Step 3: Cross multiply
    292.68x = 438.78 × 254.07
  4. Step 4: Simplify right side
    292.68x = 111,481.79
  5. Step 5: Solve for x
    x = 111,481.79/292.68
  6. Step 6: Final answer
    x = 380.90

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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.