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Finding the Fourth Proportional to 185.94, 277.72 and 147.47

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Solution

The fourth proportional to 185.94, 277.72 and 147.47 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 277.72 = 147.47 : x
  2. Step 2: Convert to fraction form
    185.94/277.72 = 147.47/x
  3. Step 3: Cross multiply
    185.94x = 277.72 × 147.47
  4. Step 4: Simplify right side
    185.94x = 40,953.61
  5. Step 5: Solve for x
    x = 40,953.61/185.94
  6. Step 6: Final answer
    x = 220.25

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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.