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Finding the Fourth Proportional to 264.26, 366.88 and 256.34

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Solution

The fourth proportional to 264.26, 366.88 and 256.34 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 366.88 = 256.34 : x
  2. Step 2: Convert to fraction form
    264.26/366.88 = 256.34/x
  3. Step 3: Cross multiply
    264.26x = 366.88 × 256.34
  4. Step 4: Simplify right side
    264.26x = 94,044.74
  5. Step 5: Solve for x
    x = 94,044.74/264.26
  6. Step 6: Final answer
    x = 355.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.