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Finding the Fourth Proportional to 397.23, 547.77 and 264.41

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Solution

The fourth proportional to 397.23, 547.77 and 264.41 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 547.77 = 264.41 : x
  2. Step 2: Convert to fraction form
    397.23/547.77 = 264.41/x
  3. Step 3: Cross multiply
    397.23x = 547.77 × 264.41
  4. Step 4: Simplify right side
    397.23x = 144,835.87
  5. Step 5: Solve for x
    x = 144,835.87/397.23
  6. Step 6: Final answer
    x = 364.61

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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.