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Finding the Fourth Proportional to 384.93, 577.56 and 254.97

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Solution

The fourth proportional to 384.93, 577.56 and 254.97 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 577.56 = 254.97 : x
  2. Step 2: Convert to fraction form
    384.93/577.56 = 254.97/x
  3. Step 3: Cross multiply
    384.93x = 577.56 × 254.97
  4. Step 4: Simplify right side
    384.93x = 147,260.90
  5. Step 5: Solve for x
    x = 147,260.90/384.93
  6. Step 6: Final answer
    x = 382.57

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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.