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Finding the Fourth Proportional to 498.16, 746.84 and 209.28

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Solution

The fourth proportional to 498.16, 746.84 and 209.28 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 746.84 = 209.28 : x
  2. Step 2: Convert to fraction form
    498.16/746.84 = 209.28/x
  3. Step 3: Cross multiply
    498.16x = 746.84 × 209.28
  4. Step 4: Simplify right side
    498.16x = 156,298.68
  5. Step 5: Solve for x
    x = 156,298.68/498.16
  6. Step 6: Final answer
    x = 313.75

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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.