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Finding the Fourth Proportional to 386.60, 533.42 and 229.23

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Solution

The fourth proportional to 386.60, 533.42 and 229.23 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.60 : 533.42 = 229.23 : x
  2. Step 2: Convert to fraction form
    386.60/533.42 = 229.23/x
  3. Step 3: Cross multiply
    386.60x = 533.42 × 229.23
  4. Step 4: Simplify right side
    386.60x = 122,274.72
  5. Step 5: Solve for x
    x = 122,274.72/386.60
  6. Step 6: Final answer
    x = 316.29

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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.