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Finding the Fourth Proportional to 334.96, 499.87 and 298.51

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Solution

The fourth proportional to 334.96, 499.87 and 298.51 is: 445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.96 : 499.87 = 298.51 : x
  2. Step 2: Convert to fraction form
    334.96/499.87 = 298.51/x
  3. Step 3: Cross multiply
    334.96x = 499.87 × 298.51
  4. Step 4: Simplify right side
    334.96x = 149,216.19
  5. Step 5: Solve for x
    x = 149,216.19/334.96
  6. Step 6: Final answer
    x = 445.47

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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.