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Finding the Fourth Proportional to 256.49, 384.72 and 73.86

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Solution

The fourth proportional to 256.49, 384.72 and 73.86 is: 110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 384.72 = 73.86 : x
  2. Step 2: Convert to fraction form
    256.49/384.72 = 73.86/x
  3. Step 3: Cross multiply
    256.49x = 384.72 × 73.86
  4. Step 4: Simplify right side
    256.49x = 28,415.42
  5. Step 5: Solve for x
    x = 28,415.42/256.49
  6. Step 6: Final answer
    x = 110.79

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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.