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Finding the Fourth Proportional to 229.19, 316.18 and 146.30

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Solution

The fourth proportional to 229.19, 316.18 and 146.30 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.19 : 316.18 = 146.30 : x
  2. Step 2: Convert to fraction form
    229.19/316.18 = 146.30/x
  3. Step 3: Cross multiply
    229.19x = 316.18 × 146.30
  4. Step 4: Simplify right side
    229.19x = 46,255.19
  5. Step 5: Solve for x
    x = 46,255.19/229.19
  6. Step 6: Final answer
    x = 201.82

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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.