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Finding the Fourth Proportional to 335.64, 500.86 and 286.86

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Solution

The fourth proportional to 335.64, 500.86 and 286.86 is: 428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 500.86 = 286.86 : x
  2. Step 2: Convert to fraction form
    335.64/500.86 = 286.86/x
  3. Step 3: Cross multiply
    335.64x = 500.86 × 286.86
  4. Step 4: Simplify right side
    335.64x = 143,676.70
  5. Step 5: Solve for x
    x = 143,676.70/335.64
  6. Step 6: Final answer
    x = 428.07

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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.