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Finding the Fourth Proportional to 175.35, 261.76 and 153.75

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Solution

The fourth proportional to 175.35, 261.76 and 153.75 is: 229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.35 : 261.76 = 153.75 : x
  2. Step 2: Convert to fraction form
    175.35/261.76 = 153.75/x
  3. Step 3: Cross multiply
    175.35x = 261.76 × 153.75
  4. Step 4: Simplify right side
    175.35x = 40,245.22
  5. Step 5: Solve for x
    x = 40,245.22/175.35
  6. Step 6: Final answer
    x = 229.51

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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.