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Finding the Fourth Proportional to 256.40, 382.68 and 250.25

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Solution

The fourth proportional to 256.40, 382.68 and 250.25 is: 373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 382.68 = 250.25 : x
  2. Step 2: Convert to fraction form
    256.40/382.68 = 250.25/x
  3. Step 3: Cross multiply
    256.40x = 382.68 × 250.25
  4. Step 4: Simplify right side
    256.40x = 95,763.76
  5. Step 5: Solve for x
    x = 95,763.76/256.40
  6. Step 6: Final answer
    x = 373.50

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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.