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Finding the Fourth Proportional to 183.45, 253.16 and 100.57

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Solution

The fourth proportional to 183.45, 253.16 and 100.57 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.45 : 253.16 = 100.57 : x
  2. Step 2: Convert to fraction form
    183.45/253.16 = 100.57/x
  3. Step 3: Cross multiply
    183.45x = 253.16 × 100.57
  4. Step 4: Simplify right side
    183.45x = 25,459.87
  5. Step 5: Solve for x
    x = 25,459.87/183.45
  6. Step 6: Final answer
    x = 138.78

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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.