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Finding the Fourth Proportional to 335.32, 503.17 and 140.46

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Solution

The fourth proportional to 335.32, 503.17 and 140.46 is: 210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 503.17 = 140.46 : x
  2. Step 2: Convert to fraction form
    335.32/503.17 = 140.46/x
  3. Step 3: Cross multiply
    335.32x = 503.17 × 140.46
  4. Step 4: Simplify right side
    335.32x = 70,673.65
  5. Step 5: Solve for x
    x = 70,673.65/335.32
  6. Step 6: Final answer
    x = 210.76

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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.