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Finding the Fourth Proportional to 497.30, 745.55 and 208.54

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Solution

The fourth proportional to 497.30, 745.55 and 208.54 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 745.55 = 208.54 : x
  2. Step 2: Convert to fraction form
    497.30/745.55 = 208.54/x
  3. Step 3: Cross multiply
    497.30x = 745.55 × 208.54
  4. Step 4: Simplify right side
    497.30x = 155,472.23
  5. Step 5: Solve for x
    x = 155,472.23/497.30
  6. Step 6: Final answer
    x = 312.63

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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.