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Finding the Fourth Proportional to 256.16, 382.74 and 224.91

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Solution

The fourth proportional to 256.16, 382.74 and 224.91 is: 336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 382.74 = 224.91 : x
  2. Step 2: Convert to fraction form
    256.16/382.74 = 224.91/x
  3. Step 3: Cross multiply
    256.16x = 382.74 × 224.91
  4. Step 4: Simplify right side
    256.16x = 86,082.05
  5. Step 5: Solve for x
    x = 86,082.05/256.16
  6. Step 6: Final answer
    x = 336.05

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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.