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Finding the Fourth Proportional to 256.72, 382.61 and 256.32

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Solution

The fourth proportional to 256.72, 382.61 and 256.32 is: 382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.72 : 382.61 = 256.32 : x
  2. Step 2: Convert to fraction form
    256.72/382.61 = 256.32/x
  3. Step 3: Cross multiply
    256.72x = 382.61 × 256.32
  4. Step 4: Simplify right side
    256.72x = 98,070.60
  5. Step 5: Solve for x
    x = 98,070.60/256.72
  6. Step 6: Final answer
    x = 382.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.