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Finding the Fourth Proportional to 495.41, 742.64 and 235.27

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Solution

The fourth proportional to 495.41, 742.64 and 235.27 is: 352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.41 : 742.64 = 235.27 : x
  2. Step 2: Convert to fraction form
    495.41/742.64 = 235.27/x
  3. Step 3: Cross multiply
    495.41x = 742.64 × 235.27
  4. Step 4: Simplify right side
    495.41x = 174,723.47
  5. Step 5: Solve for x
    x = 174,723.47/495.41
  6. Step 6: Final answer
    x = 352.69

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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.