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Finding the Fourth Proportional to 256.59, 384.48 and 184.50

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Solution

The fourth proportional to 256.59, 384.48 and 184.50 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 384.48 = 184.50 : x
  2. Step 2: Convert to fraction form
    256.59/384.48 = 184.50/x
  3. Step 3: Cross multiply
    256.59x = 384.48 × 184.50
  4. Step 4: Simplify right side
    256.59x = 70,936.56
  5. Step 5: Solve for x
    x = 70,936.56/256.59
  6. Step 6: Final answer
    x = 276.46

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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.