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Finding the Fourth Proportional to 305, 459.62 and 254.78

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Solution

The fourth proportional to 305, 459.62 and 254.78 is: 383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 459.62 = 254.78 : x
  2. Step 2: Convert to fraction form
    305/459.62 = 254.78/x
  3. Step 3: Cross multiply
    305x = 459.62 × 254.78
  4. Step 4: Simplify right side
    305x = 117,101.98
  5. Step 5: Solve for x
    x = 117,101.98/305
  6. Step 6: Final answer
    x = 383.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.