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Finding the Fourth Proportional to 418.49, 577.05 and 285.68

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Solution

The fourth proportional to 418.49, 577.05 and 285.68 is: 393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.49 : 577.05 = 285.68 : x
  2. Step 2: Convert to fraction form
    418.49/577.05 = 285.68/x
  3. Step 3: Cross multiply
    418.49x = 577.05 × 285.68
  4. Step 4: Simplify right side
    418.49x = 164,849.57
  5. Step 5: Solve for x
    x = 164,849.57/418.49
  6. Step 6: Final answer
    x = 393.91

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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.