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Finding the Fourth Proportional to 335.66, 463.20 and 188.31

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Solution

The fourth proportional to 335.66, 463.20 and 188.31 is: 259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 463.20 = 188.31 : x
  2. Step 2: Convert to fraction form
    335.66/463.20 = 188.31/x
  3. Step 3: Cross multiply
    335.66x = 463.20 × 188.31
  4. Step 4: Simplify right side
    335.66x = 87,221.93
  5. Step 5: Solve for x
    x = 87,221.93/335.66
  6. Step 6: Final answer
    x = 259.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.