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Finding the Fourth Proportional to 334.50, 499.63 and 301.93

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Solution

The fourth proportional to 334.50, 499.63 and 301.93 is: 450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.50 : 499.63 = 301.93 : x
  2. Step 2: Convert to fraction form
    334.50/499.63 = 301.93/x
  3. Step 3: Cross multiply
    334.50x = 499.63 × 301.93
  4. Step 4: Simplify right side
    334.50x = 150,853.29
  5. Step 5: Solve for x
    x = 150,853.29/334.50
  6. Step 6: Final answer
    x = 450.98

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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.