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Finding the Fourth Proportional to 495.57, 742.41 and 264.12

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Solution

The fourth proportional to 495.57, 742.41 and 264.12 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.57 : 742.41 = 264.12 : x
  2. Step 2: Convert to fraction form
    495.57/742.41 = 264.12/x
  3. Step 3: Cross multiply
    495.57x = 742.41 × 264.12
  4. Step 4: Simplify right side
    495.57x = 196,085.33
  5. Step 5: Solve for x
    x = 196,085.33/495.57
  6. Step 6: Final answer
    x = 395.68

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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.