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Finding the Fourth Proportional to 497.68, 746.64 and 209.12

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Solution

The fourth proportional to 497.68, 746.64 and 209.12 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 746.64 = 209.12 : x
  2. Step 2: Convert to fraction form
    497.68/746.64 = 209.12/x
  3. Step 3: Cross multiply
    497.68x = 746.64 × 209.12
  4. Step 4: Simplify right side
    497.68x = 156,137.36
  5. Step 5: Solve for x
    x = 156,137.36/497.68
  6. Step 6: Final answer
    x = 313.73

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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.