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Finding the Fourth Proportional to 292.64, 436.80 and 254.39

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Solution

The fourth proportional to 292.64, 436.80 and 254.39 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 436.80 = 254.39 : x
  2. Step 2: Convert to fraction form
    292.64/436.80 = 254.39/x
  3. Step 3: Cross multiply
    292.64x = 436.80 × 254.39
  4. Step 4: Simplify right side
    292.64x = 111,116.32
  5. Step 5: Solve for x
    x = 111,116.32/292.64
  6. Step 6: Final answer
    x = 379.71

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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.