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Finding the Fourth Proportional to 493.92, 740.96 and 205.40

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Solution

The fourth proportional to 493.92, 740.96 and 205.40 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 740.96 = 205.40 : x
  2. Step 2: Convert to fraction form
    493.92/740.96 = 205.40/x
  3. Step 3: Cross multiply
    493.92x = 740.96 × 205.40
  4. Step 4: Simplify right side
    493.92x = 152,193.18
  5. Step 5: Solve for x
    x = 152,193.18/493.92
  6. Step 6: Final answer
    x = 308.13

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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.