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Finding the Fourth Proportional to 336.63, 506.97 and 256.04

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Solution

The fourth proportional to 336.63, 506.97 and 256.04 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.63 : 506.97 = 256.04 : x
  2. Step 2: Convert to fraction form
    336.63/506.97 = 256.04/x
  3. Step 3: Cross multiply
    336.63x = 506.97 × 256.04
  4. Step 4: Simplify right side
    336.63x = 129,802.06
  5. Step 5: Solve for x
    x = 129,802.06/336.63
  6. Step 6: Final answer
    x = 385.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.