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Finding the Fourth Proportional to 185.84, 277.18 and 175.28

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Solution

The fourth proportional to 185.84, 277.18 and 175.28 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 277.18 = 175.28 : x
  2. Step 2: Convert to fraction form
    185.84/277.18 = 175.28/x
  3. Step 3: Cross multiply
    185.84x = 277.18 × 175.28
  4. Step 4: Simplify right side
    185.84x = 48,584.11
  5. Step 5: Solve for x
    x = 48,584.11/185.84
  6. Step 6: Final answer
    x = 261.43

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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.