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Finding the Fourth Proportional to 256.26, 384.36 and 73.62

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Solution

The fourth proportional to 256.26, 384.36 and 73.62 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 384.36 = 73.62 : x
  2. Step 2: Convert to fraction form
    256.26/384.36 = 73.62/x
  3. Step 3: Cross multiply
    256.26x = 384.36 × 73.62
  4. Step 4: Simplify right side
    256.26x = 28,294.66
  5. Step 5: Solve for x
    x = 28,294.66/256.26
  6. Step 6: Final answer
    x = 110.42

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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.