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Finding the Fourth Proportional to 395.72, 546.32 and 264.92

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Solution

The fourth proportional to 395.72, 546.32 and 264.92 is: 365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 546.32 = 264.92 : x
  2. Step 2: Convert to fraction form
    395.72/546.32 = 264.92/x
  3. Step 3: Cross multiply
    395.72x = 546.32 × 264.92
  4. Step 4: Simplify right side
    395.72x = 144,731.09
  5. Step 5: Solve for x
    x = 144,731.09/395.72
  6. Step 6: Final answer
    x = 365.74

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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.