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Finding the Fourth Proportional to 258.48, 389.56 and 258.48

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Solution

The fourth proportional to 258.48, 389.56 and 258.48 is: 389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.48 : 389.56 = 258.48 : x
  2. Step 2: Convert to fraction form
    258.48/389.56 = 258.48/x
  3. Step 3: Cross multiply
    258.48x = 389.56 × 258.48
  4. Step 4: Simplify right side
    258.48x = 100,693.47
  5. Step 5: Solve for x
    x = 100,693.47/258.48
  6. Step 6: Final answer
    x = 389.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.