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Finding the Fourth Proportional to 183.55, 253.04 and 178.69

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Solution

The fourth proportional to 183.55, 253.04 and 178.69 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.55 : 253.04 = 178.69 : x
  2. Step 2: Convert to fraction form
    183.55/253.04 = 178.69/x
  3. Step 3: Cross multiply
    183.55x = 253.04 × 178.69
  4. Step 4: Simplify right side
    183.55x = 45,215.72
  5. Step 5: Solve for x
    x = 45,215.72/183.55
  6. Step 6: Final answer
    x = 246.34

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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.