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Finding the Fourth Proportional to 258.24, 385.08 and 254.94

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Solution

The fourth proportional to 258.24, 385.08 and 254.94 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 385.08 = 254.94 : x
  2. Step 2: Convert to fraction form
    258.24/385.08 = 254.94/x
  3. Step 3: Cross multiply
    258.24x = 385.08 × 254.94
  4. Step 4: Simplify right side
    258.24x = 98,172.30
  5. Step 5: Solve for x
    x = 98,172.30/258.24
  6. Step 6: Final answer
    x = 380.16

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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.