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Finding the Fourth Proportional to 495.54, 743.13 and 235.53

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Solution

The fourth proportional to 495.54, 743.13 and 235.53 is: 353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 743.13 = 235.53 : x
  2. Step 2: Convert to fraction form
    495.54/743.13 = 235.53/x
  3. Step 3: Cross multiply
    495.54x = 743.13 × 235.53
  4. Step 4: Simplify right side
    495.54x = 175,029.41
  5. Step 5: Solve for x
    x = 175,029.41/495.54
  6. Step 6: Final answer
    x = 353.21

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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.