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Finding the Fourth Proportional to 497.30, 746.21 and 205.03

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Solution

The fourth proportional to 497.30, 746.21 and 205.03 is: 307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 746.21 = 205.03 : x
  2. Step 2: Convert to fraction form
    497.30/746.21 = 205.03/x
  3. Step 3: Cross multiply
    497.30x = 746.21 × 205.03
  4. Step 4: Simplify right side
    497.30x = 152,990.68
  5. Step 5: Solve for x
    x = 152,990.68/497.30
  6. Step 6: Final answer
    x = 307.64

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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.