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Finding the Fourth Proportional to 185.09, 275.70 and 178.40

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Solution

The fourth proportional to 185.09, 275.70 and 178.40 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.09 : 275.70 = 178.40 : x
  2. Step 2: Convert to fraction form
    185.09/275.70 = 178.40/x
  3. Step 3: Cross multiply
    185.09x = 275.70 × 178.40
  4. Step 4: Simplify right side
    185.09x = 49,186.24
  5. Step 5: Solve for x
    x = 49,186.24/185.09
  6. Step 6: Final answer
    x = 265.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.