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Finding the Fourth Proportional to 497.54, 746.43 and 266.37

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Solution

The fourth proportional to 497.54, 746.43 and 266.37 is: 399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 746.43 = 266.37 : x
  2. Step 2: Convert to fraction form
    497.54/746.43 = 266.37/x
  3. Step 3: Cross multiply
    497.54x = 746.43 × 266.37
  4. Step 4: Simplify right side
    497.54x = 198,825.76
  5. Step 5: Solve for x
    x = 198,825.76/497.54
  6. Step 6: Final answer
    x = 399.62

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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.