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Finding the Fourth Proportional to 185.79, 280.47 and 184.71

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Solution

The fourth proportional to 185.79, 280.47 and 184.71 is: 278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.79 : 280.47 = 184.71 : x
  2. Step 2: Convert to fraction form
    185.79/280.47 = 184.71/x
  3. Step 3: Cross multiply
    185.79x = 280.47 × 184.71
  4. Step 4: Simplify right side
    185.79x = 51,805.61
  5. Step 5: Solve for x
    x = 51,805.61/185.79
  6. Step 6: Final answer
    x = 278.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.