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Finding the Fourth Proportional to 483.71, 667.53 and 297.30

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Solution

The fourth proportional to 483.71, 667.53 and 297.30 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.71 : 667.53 = 297.30 : x
  2. Step 2: Convert to fraction form
    483.71/667.53 = 297.30/x
  3. Step 3: Cross multiply
    483.71x = 667.53 × 297.30
  4. Step 4: Simplify right side
    483.71x = 198,456.67
  5. Step 5: Solve for x
    x = 198,456.67/483.71
  6. Step 6: Final answer
    x = 410.28

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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.