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Finding the Fourth Proportional to 175.84, 262.75 and 121.30

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Solution

The fourth proportional to 175.84, 262.75 and 121.30 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 262.75 = 121.30 : x
  2. Step 2: Convert to fraction form
    175.84/262.75 = 121.30/x
  3. Step 3: Cross multiply
    175.84x = 262.75 × 121.30
  4. Step 4: Simplify right side
    175.84x = 31,871.58
  5. Step 5: Solve for x
    x = 31,871.58/175.84
  6. Step 6: Final answer
    x = 181.25

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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.