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Finding the Fourth Proportional to 234.02, 322.75 and 145.46

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Solution

The fourth proportional to 234.02, 322.75 and 145.46 is: 200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 322.75 = 145.46 : x
  2. Step 2: Convert to fraction form
    234.02/322.75 = 145.46/x
  3. Step 3: Cross multiply
    234.02x = 322.75 × 145.46
  4. Step 4: Simplify right side
    234.02x = 46,947.22
  5. Step 5: Solve for x
    x = 46,947.22/234.02
  6. Step 6: Final answer
    x = 200.61

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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.