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Finding the Fourth Proportional to 175.28, 261.81 and 146.20

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Solution

The fourth proportional to 175.28, 261.81 and 146.20 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.28 : 261.81 = 146.20 : x
  2. Step 2: Convert to fraction form
    175.28/261.81 = 146.20/x
  3. Step 3: Cross multiply
    175.28x = 261.81 × 146.20
  4. Step 4: Simplify right side
    175.28x = 38,276.62
  5. Step 5: Solve for x
    x = 38,276.62/175.28
  6. Step 6: Final answer
    x = 218.37

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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.