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Finding the Fourth Proportional to 191.39, 284.62 and 185.31

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Solution

The fourth proportional to 191.39, 284.62 and 185.31 is: 275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.39 : 284.62 = 185.31 : x
  2. Step 2: Convert to fraction form
    191.39/284.62 = 185.31/x
  3. Step 3: Cross multiply
    191.39x = 284.62 × 185.31
  4. Step 4: Simplify right side
    191.39x = 52,742.47
  5. Step 5: Solve for x
    x = 52,742.47/191.39
  6. Step 6: Final answer
    x = 275.58

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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.