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Finding the Fourth Proportional to 259.62, 388.80 and 254.16

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Solution

The fourth proportional to 259.62, 388.80 and 254.16 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.62 : 388.80 = 254.16 : x
  2. Step 2: Convert to fraction form
    259.62/388.80 = 254.16/x
  3. Step 3: Cross multiply
    259.62x = 388.80 × 254.16
  4. Step 4: Simplify right side
    259.62x = 98,817.41
  5. Step 5: Solve for x
    x = 98,817.41/259.62
  6. Step 6: Final answer
    x = 380.62

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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.