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Finding the Fourth Proportional to 264.56, 364.68 and 256.84

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Solution

The fourth proportional to 264.56, 364.68 and 256.84 is: 354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.56 : 364.68 = 256.84 : x
  2. Step 2: Convert to fraction form
    264.56/364.68 = 256.84/x
  3. Step 3: Cross multiply
    264.56x = 364.68 × 256.84
  4. Step 4: Simplify right side
    264.56x = 93,664.41
  5. Step 5: Solve for x
    x = 93,664.41/264.56
  6. Step 6: Final answer
    x = 354.04

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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.