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Finding the Fourth Proportional to 418.70, 577.15 and 287.48

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Solution

The fourth proportional to 418.70, 577.15 and 287.48 is: 396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.70 : 577.15 = 287.48 : x
  2. Step 2: Convert to fraction form
    418.70/577.15 = 287.48/x
  3. Step 3: Cross multiply
    418.70x = 577.15 × 287.48
  4. Step 4: Simplify right side
    418.70x = 165,919.08
  5. Step 5: Solve for x
    x = 165,919.08/418.70
  6. Step 6: Final answer
    x = 396.27

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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.