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Finding the Fourth Proportional to 335.00, 461.90 and 314.88

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Solution

The fourth proportional to 335.00, 461.90 and 314.88 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.00 : 461.90 = 314.88 : x
  2. Step 2: Convert to fraction form
    335.00/461.90 = 314.88/x
  3. Step 3: Cross multiply
    335.00x = 461.90 × 314.88
  4. Step 4: Simplify right side
    335.00x = 145,441.50
  5. Step 5: Solve for x
    x = 145,441.50/335.00
  6. Step 6: Final answer
    x = 434.16

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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.