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Finding the Fourth Proportional to 495.10, 742.38 and 264.25

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Solution

The fourth proportional to 495.10, 742.38 and 264.25 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.10 : 742.38 = 264.25 : x
  2. Step 2: Convert to fraction form
    495.10/742.38 = 264.25/x
  3. Step 3: Cross multiply
    495.10x = 742.38 × 264.25
  4. Step 4: Simplify right side
    495.10x = 196,173.92
  5. Step 5: Solve for x
    x = 196,173.92/495.10
  6. Step 6: Final answer
    x = 396.23

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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.