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Finding the Fourth Proportional to 258.96, 386.25 and 254.10

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Solution

The fourth proportional to 258.96, 386.25 and 254.10 is: 379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 386.25 = 254.10 : x
  2. Step 2: Convert to fraction form
    258.96/386.25 = 254.10/x
  3. Step 3: Cross multiply
    258.96x = 386.25 × 254.10
  4. Step 4: Simplify right side
    258.96x = 98,146.13
  5. Step 5: Solve for x
    x = 98,146.13/258.96
  6. Step 6: Final answer
    x = 379.00

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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.