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Finding the Fourth Proportional to 462.90, 638.48 and 297.31

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Solution

The fourth proportional to 462.90, 638.48 and 297.31 is: 410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 638.48 = 297.31 : x
  2. Step 2: Convert to fraction form
    462.90/638.48 = 297.31/x
  3. Step 3: Cross multiply
    462.90x = 638.48 × 297.31
  4. Step 4: Simplify right side
    462.90x = 189,826.83
  5. Step 5: Solve for x
    x = 189,826.83/462.90
  6. Step 6: Final answer
    x = 410.09

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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.