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Finding the Fourth Proportional to 256.35, 384.33 and 140.83

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Solution

The fourth proportional to 256.35, 384.33 and 140.83 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.35 : 384.33 = 140.83 : x
  2. Step 2: Convert to fraction form
    256.35/384.33 = 140.83/x
  3. Step 3: Cross multiply
    256.35x = 384.33 × 140.83
  4. Step 4: Simplify right side
    256.35x = 54,125.19
  5. Step 5: Solve for x
    x = 54,125.19/256.35
  6. Step 6: Final answer
    x = 211.14

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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.