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Finding the Fourth Proportional to 175.35, 261.62 and 154.56

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Solution

The fourth proportional to 175.35, 261.62 and 154.56 is: 230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.35 : 261.62 = 154.56 : x
  2. Step 2: Convert to fraction form
    175.35/261.62 = 154.56/x
  3. Step 3: Cross multiply
    175.35x = 261.62 × 154.56
  4. Step 4: Simplify right side
    175.35x = 40,435.99
  5. Step 5: Solve for x
    x = 40,435.99/175.35
  6. Step 6: Final answer
    x = 230.60

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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.