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Finding the Fourth Proportional to 256.65, 382.94 and 216.15

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Solution

The fourth proportional to 256.65, 382.94 and 216.15 is: 322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 382.94 = 216.15 : x
  2. Step 2: Convert to fraction form
    256.65/382.94 = 216.15/x
  3. Step 3: Cross multiply
    256.65x = 382.94 × 216.15
  4. Step 4: Simplify right side
    256.65x = 82,771.40
  5. Step 5: Solve for x
    x = 82,771.40/256.65
  6. Step 6: Final answer
    x = 322.51

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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.