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Finding the Fourth Proportional to 229.00, 316.12 and 146.22

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Solution

The fourth proportional to 229.00, 316.12 and 146.22 is: 201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.00 : 316.12 = 146.22 : x
  2. Step 2: Convert to fraction form
    229.00/316.12 = 146.22/x
  3. Step 3: Cross multiply
    229.00x = 316.12 × 146.22
  4. Step 4: Simplify right side
    229.00x = 46,221.52
  5. Step 5: Solve for x
    x = 46,221.52/229.00
  6. Step 6: Final answer
    x = 201.84

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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.