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Finding the Fourth Proportional to 256.61, 384.46 and 229.48

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Solution

The fourth proportional to 256.61, 384.46 and 229.48 is: 343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.61 : 384.46 = 229.48 : x
  2. Step 2: Convert to fraction form
    256.61/384.46 = 229.48/x
  3. Step 3: Cross multiply
    256.61x = 384.46 × 229.48
  4. Step 4: Simplify right side
    256.61x = 88,224.35
  5. Step 5: Solve for x
    x = 88,224.35/256.61
  6. Step 6: Final answer
    x = 343.80

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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.