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Finding the Fourth Proportional to 462.39, 638.25 and 315.00

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Solution

The fourth proportional to 462.39, 638.25 and 315.00 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.39 : 638.25 = 315.00 : x
  2. Step 2: Convert to fraction form
    462.39/638.25 = 315.00/x
  3. Step 3: Cross multiply
    462.39x = 638.25 × 315.00
  4. Step 4: Simplify right side
    462.39x = 201,043.98
  5. Step 5: Solve for x
    x = 201,043.98/462.39
  6. Step 6: Final answer
    x = 434.80

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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.