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Finding the Fourth Proportional to 374.81, 559.32 and 333.90

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Solution

The fourth proportional to 374.81, 559.32 and 333.90 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.81 : 559.32 = 333.90 : x
  2. Step 2: Convert to fraction form
    374.81/559.32 = 333.90/x
  3. Step 3: Cross multiply
    374.81x = 559.32 × 333.90
  4. Step 4: Simplify right side
    374.81x = 186,755.70
  5. Step 5: Solve for x
    x = 186,755.70/374.81
  6. Step 6: Final answer
    x = 498.27

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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.