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Finding the Fourth Proportional to 335.45, 462.61 and 211.07

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Solution

The fourth proportional to 335.45, 462.61 and 211.07 is: 291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.45 : 462.61 = 211.07 : x
  2. Step 2: Convert to fraction form
    335.45/462.61 = 211.07/x
  3. Step 3: Cross multiply
    335.45x = 462.61 × 211.07
  4. Step 4: Simplify right side
    335.45x = 97,643.09
  5. Step 5: Solve for x
    x = 97,643.09/335.45
  6. Step 6: Final answer
    x = 291.08

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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.