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Finding the Fourth Proportional to 335.07, 463.02 and 322.31

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Solution

The fourth proportional to 335.07, 463.02 and 322.31 is: 445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 463.02 = 322.31 : x
  2. Step 2: Convert to fraction form
    335.07/463.02 = 322.31/x
  3. Step 3: Cross multiply
    335.07x = 463.02 × 322.31
  4. Step 4: Simplify right side
    335.07x = 149,235.93
  5. Step 5: Solve for x
    x = 149,235.93/335.07
  6. Step 6: Final answer
    x = 445.39

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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.