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Finding the Fourth Proportional to 418.52, 629.99 and 297.62

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Solution

The fourth proportional to 418.52, 629.99 and 297.62 is: 448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 629.99 = 297.62 : x
  2. Step 2: Convert to fraction form
    418.52/629.99 = 297.62/x
  3. Step 3: Cross multiply
    418.52x = 629.99 × 297.62
  4. Step 4: Simplify right side
    418.52x = 187,492.99
  5. Step 5: Solve for x
    x = 187,492.99/418.52
  6. Step 6: Final answer
    x = 448.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.