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Finding the Fourth Proportional to 462.13, 636.86 and 330.91

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Solution

The fourth proportional to 462.13, 636.86 and 330.91 is: 456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.13 : 636.86 = 330.91 : x
  2. Step 2: Convert to fraction form
    462.13/636.86 = 330.91/x
  3. Step 3: Cross multiply
    462.13x = 636.86 × 330.91
  4. Step 4: Simplify right side
    462.13x = 210,743.34
  5. Step 5: Solve for x
    x = 210,743.34/462.13
  6. Step 6: Final answer
    x = 456.03

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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.