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Finding the Fourth Proportional to 258.69, 385.79 and 229.77

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Solution

The fourth proportional to 258.69, 385.79 and 229.77 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.69 : 385.79 = 229.77 : x
  2. Step 2: Convert to fraction form
    258.69/385.79 = 229.77/x
  3. Step 3: Cross multiply
    258.69x = 385.79 × 229.77
  4. Step 4: Simplify right side
    258.69x = 88,643.54
  5. Step 5: Solve for x
    x = 88,643.54/258.69
  6. Step 6: Final answer
    x = 342.66

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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.