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Finding the Fourth Proportional to 335.40, 462.10 and 246.70

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Solution

The fourth proportional to 335.40, 462.10 and 246.70 is: 339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 462.10 = 246.70 : x
  2. Step 2: Convert to fraction form
    335.40/462.10 = 246.70/x
  3. Step 3: Cross multiply
    335.40x = 462.10 × 246.70
  4. Step 4: Simplify right side
    335.40x = 114,000.07
  5. Step 5: Solve for x
    x = 114,000.07/335.40
  6. Step 6: Final answer
    x = 339.89

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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.