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Finding the Fourth Proportional to 256.52, 382.60 and 240.32

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Solution

The fourth proportional to 256.52, 382.60 and 240.32 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.52 : 382.60 = 240.32 : x
  2. Step 2: Convert to fraction form
    256.52/382.60 = 240.32/x
  3. Step 3: Cross multiply
    256.52x = 382.60 × 240.32
  4. Step 4: Simplify right side
    256.52x = 91,946.43
  5. Step 5: Solve for x
    x = 91,946.43/256.52
  6. Step 6: Final answer
    x = 358.44

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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.