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Finding the Fourth Proportional to 366.84, 506.40 and 256.32

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Solution

The fourth proportional to 366.84, 506.40 and 256.32 is: 353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.84 : 506.40 = 256.32 : x
  2. Step 2: Convert to fraction form
    366.84/506.40 = 256.32/x
  3. Step 3: Cross multiply
    366.84x = 506.40 × 256.32
  4. Step 4: Simplify right side
    366.84x = 129,800.45
  5. Step 5: Solve for x
    x = 129,800.45/366.84
  6. Step 6: Final answer
    x = 353.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.