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Finding the Fourth Proportional to 459.98, 690.42 and 254.78

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Solution

The fourth proportional to 459.98, 690.42 and 254.78 is: 382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.98 : 690.42 = 254.78 : x
  2. Step 2: Convert to fraction form
    459.98/690.42 = 254.78/x
  3. Step 3: Cross multiply
    459.98x = 690.42 × 254.78
  4. Step 4: Simplify right side
    459.98x = 175,905.21
  5. Step 5: Solve for x
    x = 175,905.21/459.98
  6. Step 6: Final answer
    x = 382.42

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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.