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Finding the Fourth Proportional to 229.95, 344.71 and 85.57

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Solution

The fourth proportional to 229.95, 344.71 and 85.57 is: 128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.95 : 344.71 = 85.57 : x
  2. Step 2: Convert to fraction form
    229.95/344.71 = 85.57/x
  3. Step 3: Cross multiply
    229.95x = 344.71 × 85.57
  4. Step 4: Simplify right side
    229.95x = 29,496.83
  5. Step 5: Solve for x
    x = 29,496.83/229.95
  6. Step 6: Final answer
    x = 128.27

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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.