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Finding the Fourth Proportional to 497.23, 745.85 and 208.47

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Solution

The fourth proportional to 497.23, 745.85 and 208.47 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 745.85 = 208.47 : x
  2. Step 2: Convert to fraction form
    497.23/745.85 = 208.47/x
  3. Step 3: Cross multiply
    497.23x = 745.85 × 208.47
  4. Step 4: Simplify right side
    497.23x = 155,487.35
  5. Step 5: Solve for x
    x = 155,487.35/497.23
  6. Step 6: Final answer
    x = 312.71

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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.