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Finding the Fourth Proportional to 335.62, 502.83 and 294.02

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Solution

The fourth proportional to 335.62, 502.83 and 294.02 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.62 : 502.83 = 294.02 : x
  2. Step 2: Convert to fraction form
    335.62/502.83 = 294.02/x
  3. Step 3: Cross multiply
    335.62x = 502.83 × 294.02
  4. Step 4: Simplify right side
    335.62x = 147,838.09
  5. Step 5: Solve for x
    x = 147,838.09/335.62
  6. Step 6: Final answer
    x = 440.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.