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Finding the Fourth Proportional to 232.26, 320.66 and 145.05

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Solution

The fourth proportional to 232.26, 320.66 and 145.05 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 320.66 = 145.05 : x
  2. Step 2: Convert to fraction form
    232.26/320.66 = 145.05/x
  3. Step 3: Cross multiply
    232.26x = 320.66 × 145.05
  4. Step 4: Simplify right side
    232.26x = 46,511.01
  5. Step 5: Solve for x
    x = 46,511.01/232.26
  6. Step 6: Final answer
    x = 200.25

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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.