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Finding the Fourth Proportional to 334.80, 499.69 and 312.93

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Solution

The fourth proportional to 334.80, 499.69 and 312.93 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 499.69 = 312.93 : x
  2. Step 2: Convert to fraction form
    334.80/499.69 = 312.93/x
  3. Step 3: Cross multiply
    334.80x = 499.69 × 312.93
  4. Step 4: Simplify right side
    334.80x = 156,367.99
  5. Step 5: Solve for x
    x = 156,367.99/334.80
  6. Step 6: Final answer
    x = 467.05

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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.