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Finding the Fourth Proportional to 258.04, 355.56 and 257.56

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Solution

The fourth proportional to 258.04, 355.56 and 257.56 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 355.56 = 257.56 : x
  2. Step 2: Convert to fraction form
    258.04/355.56 = 257.56/x
  3. Step 3: Cross multiply
    258.04x = 355.56 × 257.56
  4. Step 4: Simplify right side
    258.04x = 91,578.03
  5. Step 5: Solve for x
    x = 91,578.03/258.04
  6. Step 6: Final answer
    x = 354.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.