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Finding the Fourth Proportional to 161.33, 240.64 and 146.75

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Solution

The fourth proportional to 161.33, 240.64 and 146.75 is: 218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.33 : 240.64 = 146.75 : x
  2. Step 2: Convert to fraction form
    161.33/240.64 = 146.75/x
  3. Step 3: Cross multiply
    161.33x = 240.64 × 146.75
  4. Step 4: Simplify right side
    161.33x = 35,313.92
  5. Step 5: Solve for x
    x = 35,313.92/161.33
  6. Step 6: Final answer
    x = 218.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.