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Finding the Fourth Proportional to 335.76, 500.74 and 287.32

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Solution

The fourth proportional to 335.76, 500.74 and 287.32 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 500.74 = 287.32 : x
  2. Step 2: Convert to fraction form
    335.76/500.74 = 287.32/x
  3. Step 3: Cross multiply
    335.76x = 500.74 × 287.32
  4. Step 4: Simplify right side
    335.76x = 143,872.62
  5. Step 5: Solve for x
    x = 143,872.62/335.76
  6. Step 6: Final answer
    x = 428.50

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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.