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Finding the Fourth Proportional to 258.88, 386.57 and 257.36

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Solution

The fourth proportional to 258.88, 386.57 and 257.36 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.88 : 386.57 = 257.36 : x
  2. Step 2: Convert to fraction form
    258.88/386.57 = 257.36/x
  3. Step 3: Cross multiply
    258.88x = 386.57 × 257.36
  4. Step 4: Simplify right side
    258.88x = 99,487.66
  5. Step 5: Solve for x
    x = 99,487.66/258.88
  6. Step 6: Final answer
    x = 384.30

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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.