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Finding the Fourth Proportional to 335.47, 462.89 and 188.11

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Solution

The fourth proportional to 335.47, 462.89 and 188.11 is: 259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.47 : 462.89 = 188.11 : x
  2. Step 2: Convert to fraction form
    335.47/462.89 = 188.11/x
  3. Step 3: Cross multiply
    335.47x = 462.89 × 188.11
  4. Step 4: Simplify right side
    335.47x = 87,074.24
  5. Step 5: Solve for x
    x = 87,074.24/335.47
  6. Step 6: Final answer
    x = 259.56

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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.