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Finding the Fourth Proportional to 183.93, 253.76 and 121.76

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Solution

The fourth proportional to 183.93, 253.76 and 121.76 is: 167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.93 : 253.76 = 121.76 : x
  2. Step 2: Convert to fraction form
    183.93/253.76 = 121.76/x
  3. Step 3: Cross multiply
    183.93x = 253.76 × 121.76
  4. Step 4: Simplify right side
    183.93x = 30,897.82
  5. Step 5: Solve for x
    x = 30,897.82/183.93
  6. Step 6: Final answer
    x = 167.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.