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Finding the Fourth Proportional to 418.88, 577.77 and 294.45

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Solution

The fourth proportional to 418.88, 577.77 and 294.45 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 577.77 = 294.45 : x
  2. Step 2: Convert to fraction form
    418.88/577.77 = 294.45/x
  3. Step 3: Cross multiply
    418.88x = 577.77 × 294.45
  4. Step 4: Simplify right side
    418.88x = 170,121.11
  5. Step 5: Solve for x
    x = 170,121.11/418.88
  6. Step 6: Final answer
    x = 406.13

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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.