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Finding the Fourth Proportional to 497.12, 745.76 and 208.48

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Solution

The fourth proportional to 497.12, 745.76 and 208.48 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 745.76 = 208.48 : x
  2. Step 2: Convert to fraction form
    497.12/745.76 = 208.48/x
  3. Step 3: Cross multiply
    497.12x = 745.76 × 208.48
  4. Step 4: Simplify right side
    497.12x = 155,476.04
  5. Step 5: Solve for x
    x = 155,476.04/497.12
  6. Step 6: Final answer
    x = 312.75

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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.