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Finding the Fourth Proportional to 258.83, 386.34 and 228.06

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Solution

The fourth proportional to 258.83, 386.34 and 228.06 is: 340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 386.34 = 228.06 : x
  2. Step 2: Convert to fraction form
    258.83/386.34 = 228.06/x
  3. Step 3: Cross multiply
    258.83x = 386.34 × 228.06
  4. Step 4: Simplify right side
    258.83x = 88,108.70
  5. Step 5: Solve for x
    x = 88,108.70/258.83
  6. Step 6: Final answer
    x = 340.42

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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.