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Finding the Fourth Proportional to 343.92, 515.40 and 258.48

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Solution

The fourth proportional to 343.92, 515.40 and 258.48 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 515.40 = 258.48 : x
  2. Step 2: Convert to fraction form
    343.92/515.40 = 258.48/x
  3. Step 3: Cross multiply
    343.92x = 515.40 × 258.48
  4. Step 4: Simplify right side
    343.92x = 133,220.59
  5. Step 5: Solve for x
    x = 133,220.59/343.92
  6. Step 6: Final answer
    x = 387.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.