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Finding the Fourth Proportional to 229.40, 316.52 and 145.40

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Solution

The fourth proportional to 229.40, 316.52 and 145.40 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 316.52 = 145.40 : x
  2. Step 2: Convert to fraction form
    229.40/316.52 = 145.40/x
  3. Step 3: Cross multiply
    229.40x = 316.52 × 145.40
  4. Step 4: Simplify right side
    229.40x = 46,022.84
  5. Step 5: Solve for x
    x = 46,022.84/229.40
  6. Step 6: Final answer
    x = 200.62

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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.