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Finding the Fourth Proportional to 264.06, 395.69 and 257.31

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Solution

The fourth proportional to 264.06, 395.69 and 257.31 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 395.69 = 257.31 : x
  2. Step 2: Convert to fraction form
    264.06/395.69 = 257.31/x
  3. Step 3: Cross multiply
    264.06x = 395.69 × 257.31
  4. Step 4: Simplify right side
    264.06x = 101,813.71
  5. Step 5: Solve for x
    x = 101,813.71/264.06
  6. Step 6: Final answer
    x = 385.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.