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Finding the Fourth Proportional to 256.17, 383.09 and 191.22

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Solution

The fourth proportional to 256.17, 383.09 and 191.22 is: 285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.17 : 383.09 = 191.22 : x
  2. Step 2: Convert to fraction form
    256.17/383.09 = 191.22/x
  3. Step 3: Cross multiply
    256.17x = 383.09 × 191.22
  4. Step 4: Simplify right side
    256.17x = 73,252.08
  5. Step 5: Solve for x
    x = 73,252.08/256.17
  6. Step 6: Final answer
    x = 285.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.