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Finding the Fourth Proportional to 335.07, 462.51 and 217.08

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Solution

The fourth proportional to 335.07, 462.51 and 217.08 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 462.51 = 217.08 : x
  2. Step 2: Convert to fraction form
    335.07/462.51 = 217.08/x
  3. Step 3: Cross multiply
    335.07x = 462.51 × 217.08
  4. Step 4: Simplify right side
    335.07x = 100,401.67
  5. Step 5: Solve for x
    x = 100,401.67/335.07
  6. Step 6: Final answer
    x = 299.64

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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.