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Finding the Fourth Proportional to 335.22, 461.64 and 314.38

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Solution

The fourth proportional to 335.22, 461.64 and 314.38 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.22 : 461.64 = 314.38 : x
  2. Step 2: Convert to fraction form
    335.22/461.64 = 314.38/x
  3. Step 3: Cross multiply
    335.22x = 461.64 × 314.38
  4. Step 4: Simplify right side
    335.22x = 145,130.38
  5. Step 5: Solve for x
    x = 145,130.38/335.22
  6. Step 6: Final answer
    x = 432.94

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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.