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Finding the Fourth Proportional to 257.39, 384.77 and 191.78

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Solution

The fourth proportional to 257.39, 384.77 and 191.78 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.39 : 384.77 = 191.78 : x
  2. Step 2: Convert to fraction form
    257.39/384.77 = 191.78/x
  3. Step 3: Cross multiply
    257.39x = 384.77 × 191.78
  4. Step 4: Simplify right side
    257.39x = 73,792.27
  5. Step 5: Solve for x
    x = 73,792.27/257.39
  6. Step 6: Final answer
    x = 286.69

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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.