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Finding the Fourth Proportional to 418.30, 628.80 and 297.40

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Solution

The fourth proportional to 418.30, 628.80 and 297.40 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.30 : 628.80 = 297.40 : x
  2. Step 2: Convert to fraction form
    418.30/628.80 = 297.40/x
  3. Step 3: Cross multiply
    418.30x = 628.80 × 297.40
  4. Step 4: Simplify right side
    418.30x = 187,005.12
  5. Step 5: Solve for x
    x = 187,005.12/418.30
  6. Step 6: Final answer
    x = 447.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.