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Finding the Fourth Proportional to 264.07, 398.38 and 256.78

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Solution

The fourth proportional to 264.07, 398.38 and 256.78 is: 387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 398.38 = 256.78 : x
  2. Step 2: Convert to fraction form
    264.07/398.38 = 256.78/x
  3. Step 3: Cross multiply
    264.07x = 398.38 × 256.78
  4. Step 4: Simplify right side
    264.07x = 102,296.02
  5. Step 5: Solve for x
    x = 102,296.02/264.07
  6. Step 6: Final answer
    x = 387.38

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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.