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Finding the Fourth Proportional to 185.02, 253.74 and 177.57

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Solution

The fourth proportional to 185.02, 253.74 and 177.57 is: 243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 253.74 = 177.57 : x
  2. Step 2: Convert to fraction form
    185.02/253.74 = 177.57/x
  3. Step 3: Cross multiply
    185.02x = 253.74 × 177.57
  4. Step 4: Simplify right side
    185.02x = 45,057.28
  5. Step 5: Solve for x
    x = 45,057.28/185.02
  6. Step 6: Final answer
    x = 243.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.