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Finding the Fourth Proportional to 497.17, 745.31 and 208.45

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Solution

The fourth proportional to 497.17, 745.31 and 208.45 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.17 : 745.31 = 208.45 : x
  2. Step 2: Convert to fraction form
    497.17/745.31 = 208.45/x
  3. Step 3: Cross multiply
    497.17x = 745.31 × 208.45
  4. Step 4: Simplify right side
    497.17x = 155,359.87
  5. Step 5: Solve for x
    x = 155,359.87/497.17
  6. Step 6: Final answer
    x = 312.49

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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.