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Finding the Fourth Proportional to 264.08, 394.46 and 256.79

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Solution

The fourth proportional to 264.08, 394.46 and 256.79 is: 383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 394.46 = 256.79 : x
  2. Step 2: Convert to fraction form
    264.08/394.46 = 256.79/x
  3. Step 3: Cross multiply
    264.08x = 394.46 × 256.79
  4. Step 4: Simplify right side
    264.08x = 101,290.13
  5. Step 5: Solve for x
    x = 101,290.13/264.08
  6. Step 6: Final answer
    x = 383.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.