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Finding the Fourth Proportional to 335.80, 502.62 and 311.50

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Solution

The fourth proportional to 335.80, 502.62 and 311.50 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.80 : 502.62 = 311.50 : x
  2. Step 2: Convert to fraction form
    335.80/502.62 = 311.50/x
  3. Step 3: Cross multiply
    335.80x = 502.62 × 311.50
  4. Step 4: Simplify right side
    335.80x = 156,566.13
  5. Step 5: Solve for x
    x = 156,566.13/335.80
  6. Step 6: Final answer
    x = 466.25

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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.