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Finding the Fourth Proportional to 229.09, 315.98 and 140.57

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Solution

The fourth proportional to 229.09, 315.98 and 140.57 is: 193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.09 : 315.98 = 140.57 : x
  2. Step 2: Convert to fraction form
    229.09/315.98 = 140.57/x
  3. Step 3: Cross multiply
    229.09x = 315.98 × 140.57
  4. Step 4: Simplify right side
    229.09x = 44,417.92
  5. Step 5: Solve for x
    x = 44,417.92/229.09
  6. Step 6: Final answer
    x = 193.89

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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.