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Finding the Fourth Proportional to 256.59, 384.70 and 83.20

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Solution

The fourth proportional to 256.59, 384.70 and 83.20 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 384.70 = 83.20 : x
  2. Step 2: Convert to fraction form
    256.59/384.70 = 83.20/x
  3. Step 3: Cross multiply
    256.59x = 384.70 × 83.20
  4. Step 4: Simplify right side
    256.59x = 32,007.04
  5. Step 5: Solve for x
    x = 32,007.04/256.59
  6. Step 6: Final answer
    x = 124.74

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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.