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Finding the Fourth Proportional to 185.04, 275.37 and 178.89

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Solution

The fourth proportional to 185.04, 275.37 and 178.89 is: 266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 275.37 = 178.89 : x
  2. Step 2: Convert to fraction form
    185.04/275.37 = 178.89/x
  3. Step 3: Cross multiply
    185.04x = 275.37 × 178.89
  4. Step 4: Simplify right side
    185.04x = 49,260.58
  5. Step 5: Solve for x
    x = 49,260.58/185.04
  6. Step 6: Final answer
    x = 266.22

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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.