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Finding the Fourth Proportional to 495.53, 743.28 and 130.31

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Solution

The fourth proportional to 495.53, 743.28 and 130.31 is: 195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.53 : 743.28 = 130.31 : x
  2. Step 2: Convert to fraction form
    495.53/743.28 = 130.31/x
  3. Step 3: Cross multiply
    495.53x = 743.28 × 130.31
  4. Step 4: Simplify right side
    495.53x = 96,853.10
  5. Step 5: Solve for x
    x = 96,853.10/495.53
  6. Step 6: Final answer
    x = 195.46

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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.