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Finding the Fourth Proportional to 264.61, 394.96 and 245.59

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Solution

The fourth proportional to 264.61, 394.96 and 245.59 is: 366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.61 : 394.96 = 245.59 : x
  2. Step 2: Convert to fraction form
    264.61/394.96 = 245.59/x
  3. Step 3: Cross multiply
    264.61x = 394.96 × 245.59
  4. Step 4: Simplify right side
    264.61x = 96,996.25
  5. Step 5: Solve for x
    x = 96,996.25/264.61
  6. Step 6: Final answer
    x = 366.57

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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.