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Finding the Fourth Proportional to 497.28, 746 and 208.76

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Solution

The fourth proportional to 497.28, 746 and 208.76 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 746 = 208.76 : x
  2. Step 2: Convert to fraction form
    497.28/746 = 208.76/x
  3. Step 3: Cross multiply
    497.28x = 746 × 208.76
  4. Step 4: Simplify right side
    497.28x = 155,734.96
  5. Step 5: Solve for x
    x = 155,734.96/497.28
  6. Step 6: Final answer
    x = 313.17

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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.