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Finding the Fourth Proportional to 333.76, 497.96 and 299.20

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Solution

The fourth proportional to 333.76, 497.96 and 299.20 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 497.96 = 299.20 : x
  2. Step 2: Convert to fraction form
    333.76/497.96 = 299.20/x
  3. Step 3: Cross multiply
    333.76x = 497.96 × 299.20
  4. Step 4: Simplify right side
    333.76x = 148,989.63
  5. Step 5: Solve for x
    x = 148,989.63/333.76
  6. Step 6: Final answer
    x = 446.40

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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.