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Finding the Fourth Proportional to 229.37, 316.58 and 141.99

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Solution

The fourth proportional to 229.37, 316.58 and 141.99 is: 195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.37 : 316.58 = 141.99 : x
  2. Step 2: Convert to fraction form
    229.37/316.58 = 141.99/x
  3. Step 3: Cross multiply
    229.37x = 316.58 × 141.99
  4. Step 4: Simplify right side
    229.37x = 44,950.48
  5. Step 5: Solve for x
    x = 44,950.48/229.37
  6. Step 6: Final answer
    x = 195.98

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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.