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Finding the Fourth Proportional to 462.94, 638.89 and 288.31

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Solution

The fourth proportional to 462.94, 638.89 and 288.31 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 638.89 = 288.31 : x
  2. Step 2: Convert to fraction form
    462.94/638.89 = 288.31/x
  3. Step 3: Cross multiply
    462.94x = 638.89 × 288.31
  4. Step 4: Simplify right side
    462.94x = 184,195.18
  5. Step 5: Solve for x
    x = 184,195.18/462.94
  6. Step 6: Final answer
    x = 397.89

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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.