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Finding the Fourth Proportional to 462.96, 638.22 and 285.81

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Solution

The fourth proportional to 462.96, 638.22 and 285.81 is: 394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 638.22 = 285.81 : x
  2. Step 2: Convert to fraction form
    462.96/638.22 = 285.81/x
  3. Step 3: Cross multiply
    462.96x = 638.22 × 285.81
  4. Step 4: Simplify right side
    462.96x = 182,407.18
  5. Step 5: Solve for x
    x = 182,407.18/462.96
  6. Step 6: Final answer
    x = 394.00

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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.