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Finding the Fourth Proportional to 395.70, 545.79 and 264.54

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Solution

The fourth proportional to 395.70, 545.79 and 264.54 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.70 : 545.79 = 264.54 : x
  2. Step 2: Convert to fraction form
    395.70/545.79 = 264.54/x
  3. Step 3: Cross multiply
    395.70x = 545.79 × 264.54
  4. Step 4: Simplify right side
    395.70x = 144,383.29
  5. Step 5: Solve for x
    x = 144,383.29/395.70
  6. Step 6: Final answer
    x = 364.88

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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.