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Finding the Fourth Proportional to 497.37, 746.01 and 132.20

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Solution

The fourth proportional to 497.37, 746.01 and 132.20 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.37 : 746.01 = 132.20 : x
  2. Step 2: Convert to fraction form
    497.37/746.01 = 132.20/x
  3. Step 3: Cross multiply
    497.37x = 746.01 × 132.20
  4. Step 4: Simplify right side
    497.37x = 98,618.13
  5. Step 5: Solve for x
    x = 98,618.13/497.37
  6. Step 6: Final answer
    x = 198.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.