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Finding the Fourth Proportional to 335.49, 462.80 and 312.03

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Solution

The fourth proportional to 335.49, 462.80 and 312.03 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.49 : 462.80 = 312.03 : x
  2. Step 2: Convert to fraction form
    335.49/462.80 = 312.03/x
  3. Step 3: Cross multiply
    335.49x = 462.80 × 312.03
  4. Step 4: Simplify right side
    335.49x = 144,405.92
  5. Step 5: Solve for x
    x = 144,405.92/335.49
  6. Step 6: Final answer
    x = 430.43

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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.