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Finding the Fourth Proportional to 333.92, 498.82 and 282.32

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Solution

The fourth proportional to 333.92, 498.82 and 282.32 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 498.82 = 282.32 : x
  2. Step 2: Convert to fraction form
    333.92/498.82 = 282.32/x
  3. Step 3: Cross multiply
    333.92x = 498.82 × 282.32
  4. Step 4: Simplify right side
    333.92x = 140,826.86
  5. Step 5: Solve for x
    x = 140,826.86/333.92
  6. Step 6: Final answer
    x = 421.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.