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Finding the Fourth Proportional to 256.84, 383.93 and 191.23

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Solution

The fourth proportional to 256.84, 383.93 and 191.23 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 383.93 = 191.23 : x
  2. Step 2: Convert to fraction form
    256.84/383.93 = 191.23/x
  3. Step 3: Cross multiply
    256.84x = 383.93 × 191.23
  4. Step 4: Simplify right side
    256.84x = 73,417.74
  5. Step 5: Solve for x
    x = 73,417.74/256.84
  6. Step 6: Final answer
    x = 285.85

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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.