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Finding the Fourth Proportional to 175.77, 262.64 and 121.10

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Solution

The fourth proportional to 175.77, 262.64 and 121.10 is: 180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.77 : 262.64 = 121.10 : x
  2. Step 2: Convert to fraction form
    175.77/262.64 = 121.10/x
  3. Step 3: Cross multiply
    175.77x = 262.64 × 121.10
  4. Step 4: Simplify right side
    175.77x = 31,804.69
  5. Step 5: Solve for x
    x = 31,804.69/175.77
  6. Step 6: Final answer
    x = 180.94

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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.