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Finding the Fourth Proportional to 183.50, 253.07 and 136.87

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Solution

The fourth proportional to 183.50, 253.07 and 136.87 is: 188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 253.07 = 136.87 : x
  2. Step 2: Convert to fraction form
    183.50/253.07 = 136.87/x
  3. Step 3: Cross multiply
    183.50x = 253.07 × 136.87
  4. Step 4: Simplify right side
    183.50x = 34,636.89
  5. Step 5: Solve for x
    x = 34,636.89/183.50
  6. Step 6: Final answer
    x = 188.76

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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.